Linear and Abstract Algebra Forum

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Join experts in discussing linear and abstract algebra topics. This includes vector spaces and linear transformations. Also groups and other algebraic structures along with Number Theory.
Undergrad Understanding linear transformation
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MHB Proving parallel lines using points and vectors
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Graduate Three dimensional Lie algebra L with dim L' = 1
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Undergrad Master the Eigenvalue Algorithm for Math GRE Exams
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Graduate Operator in a real vector space has an upper block triangular matrix
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Graduate Proof of Maximal Left Ideal Generation in the Ring Mn(F)
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Graduate Implicit Runge–Kutta in R^3 space
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Graduate Operations on Ideals - Hello Experts
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Graduate Reducing Rank-3 Tensor Field into Matrix
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Graduate What Are the Kernels of Robotic Solving Methods in Infinite Differentiability?
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Graduate Understanding the Principle of Lifting Invariants in Lie Algebras
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Graduate Do Left and Right Semisimplicity Coincide in Non-Unital Rings?
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Graduate Order of Elements in a Group: A Quick Check of Understanding
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Graduate Variance captured in coordinate axis.
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Graduate How Do Eigenvectors of Block Covariance Matrices Interrelate?
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Graduate How Do You Calculate Probabilities with Non-Coprime Residue Classes?
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Graduate Applying 3 Concurrent Angular Velocities to Vectors
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Graduate Can We Approximate the Matrix Square Root of A+B Under Certain Conditions?
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Undergrad Rotate a shape back to its original position with the fewest rotations
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Undergrad Finding the dimension of the span ##u_1-u_2, ...., u_n-u_1##?
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MHB Invertiable Matrix - explaining it to children - ideas how to teach
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MHB Zero divisor for polynomial rings
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High School Size of a Vector: Inner Product & Magnitude
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Undergrad If T^2 = T, where T is a linear operator on V, T=I or T=0?
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Undergrad Find the closest distance between two lines segments?
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Graduate Proving Division of Local Ring in Ring with Idempotents
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Graduate Double Dual Example: V=R^2 to V** Transformation
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Graduate C* algebras, states, finite graphs
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Graduate Exploiting a the inverse to determine eigen vectors?
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Graduate Multilinear Maps of V^n into Reals and Effect of Linear Transforma
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Graduate Can the trace be expressed in terms of the determinant?
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Graduate How Can I Catch Up on Field Theory After Being Sick?
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Graduate Finding Dual Basis of Linear Functionals for a Given Basis in C^3
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Graduate Multiplicative and additive identities as successors
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Graduate Designating matrices by (system2 operator system1)
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Graduate Help with Pojective Linear Groups
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Graduate Group Theory and Energy Eigenstates in Quantum Mechanics
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Graduate What is the dimension of the graph of F?
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Graduate Trying to Develop a Decryption Scheme for a Given Encryption
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Graduate Rational Numbers That Are Hard To Prove?
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Undergrad I'm trying to write a program that plots the riemann zeta function
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Graduate Terminology for (anti)symmetric tensors in characteristic 2
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Graduate Proving the Chinese Remainder Theorem for Reduced Residues Modulo mn
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Graduate Non-adjoint Conjugate of Pure State Vector
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Graduate How Does a Quotient Module Relate to Its Generators in a Local Ring?
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Graduate Does there exist a transformation between a loop and a close loop ?
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Graduate Reconstructing operator matrix from subspace samples
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Graduate Orthogonal Subgroups : on Modules?
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Graduate What is SU*(N)? Definition and Explanation
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Graduate Solving: How H Normalises [H,K]?
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Graduate Matrix form of Lie algebra highest weight representation
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Graduate Learn a bit more about triality of SO
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Graduate Solve Weird Matrix Equation to Get Values for P
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Graduate Confusion about the definition of adjoint representation and roots.
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Graduate Solving for a Lie Algebra in General
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Graduate Deriving transformation matrix from clues
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Graduate Solving AM=MB for 3x3 Matrices: Vectorize M & Find 9 Equations
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Graduate How Can Orbits Depend on Each Other in Colored Graph Automorphisms?
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Graduate Diagonal Perturbations of Linear Equations
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Graduate Can Structure Constants Define a Metric in a 10D Lie Algebra?
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Graduate Different Type of Extension Problem for Groups
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Graduate Principal component analysis (PCA) with small number of observations
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Graduate Validity of Direct Product Structure of Symmetry Group
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Graduate Tensor Products and Maps Factoring Through
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Graduate Calculating an expression for trace of generators of two Lie algebra
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Graduate Degree p Invariants in Linear Tensor Products: Bishop & Goldberg, p. 86-87
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Graduate Subalgebra of one less dimension
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Graduate How Do Radical Ideals Relate to Submodules in Algebra?
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Graduate Can B Be Determined from Given A and C in Kronecker Product?
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Graduate Is There a Name for a Subcategory Acting Like an Ideal in Category Theory?
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Graduate Is \alpha in LK determined by polynomials and elements from subfields L and K?
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Graduate Is There an Algorithm for Solving the Combinatorial Design Problem?
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Graduate Automorphism of these Cayley graphs
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Graduate Find Cartan Subalgebra for Algebra Given Generators
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Undergrad Matrix prerequisities for Gauss elimination
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Graduate Lie algebras contained in Universal Enveloping Algebra
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Graduate Linear combinations of structure constants
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Graduate Accurate estimation of complex eigenvalues
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Graduate Are FG-Modules More Advantageous Than Group Representations?
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Graduate Multiplicative groups of nonzero reals and pos. reals
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Graduate Is this a route to the prime number theorem?
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Graduate Is the T x S^1 action on C^infinity functions free?
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Graduate On Finding Lie Algebra Representations
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Undergrad Sparse Matrix transformation to locate columns containing zeros
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Undergrad Procedure for orking out the basis of the kernel of a linear transformation.
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Graduate Non-Square Skew (Symmetric/Repeating) Matrix?
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Graduate Arithmetical function and distributions
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Graduate An identity about Gamma and Riemann function
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Undergrad Elementary Row Operations and Preserving Solutions.
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Undergrad Proving Rational Solutions in Linear Systems with Rational Coefficients
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Graduate Triangle homography is possible I am a first?
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Graduate Optimization of objective function that's the product of unitary matrices
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Graduate Equivalence of Unimodular (Quadratic)forms on Abelian groups
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Graduate Modules with multiple operators
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MHB Group Ring Integral dihedral group with order 6
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Graduate What Are Double Rotations in 4-Space and Their Conditions?
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Graduate What is an Initial Segment here?: Reidemeister-Schreier Method
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Graduate Convergence of Ratios in Genetic System of Iterated Equations
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Graduate Are all root systems defined with respect to a bilinear form?
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Graduate Complex Cholesky Decomposition
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