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 Tensor calculation, giving|cos A|>1: how to interpret
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Undergrad Why Use Nonlinear Polynomials for Linearization?
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Undergrad Proving a formula for special determinants
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Undergrad Projectile angle (straight line) between 2 planets
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Graduate Performing MLEM with Response Matrix for 4pi Imager and 1x3 Vector Input
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MHB List all the subgroups H of C_(12)
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MHB Find n such that the group of the n-th roots of unity has exactly 6 generators
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MHB Prove that the 12-th roots of unity in C form a cyclic group
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MHB Prove Lagrange’s Theorem for left cosets
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Undergrad Transforming Vectors and Tensors
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Undergrad Showing direct sum of subspaces equals vector space
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Graduate Diffusion equation and a system of equations with reciprocal unknowns?
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Undergrad Understanding linear transformation
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MHB Proving parallel lines using points and vectors
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Three dimensional Lie algebra L with dim L' = 1
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Master the Eigenvalue Algorithm for Math GRE Exams
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Operator in a real vector space has an upper block triangular matrix
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Proof of Maximal Left Ideal Generation in the Ring Mn(F)
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Implicit Runge–Kutta in R^3 space
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Operations on Ideals - Hello Experts
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Reducing Rank-3 Tensor Field into Matrix
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What Are the Kernels of Robotic Solving Methods in Infinite Differentiability?
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Understanding the Principle of Lifting Invariants in Lie Algebras
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Do Left and Right Semisimplicity Coincide in Non-Unital Rings?
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Order of Elements in a Group: A Quick Check of Understanding
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Variance captured in coordinate axis.
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How Do Eigenvectors of Block Covariance Matrices Interrelate?
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How Do You Calculate Probabilities with Non-Coprime Residue Classes?
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Applying 3 Concurrent Angular Velocities to Vectors
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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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Proving Division of Local Ring in Ring with Idempotents
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Double Dual Example: V=R^2 to V** Transformation
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C* algebras, states, finite graphs
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Exploiting a the inverse to determine eigen vectors?
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Multilinear Maps of V^n into Reals and Effect of Linear Transforma
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Can the trace be expressed in terms of the determinant?
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How Can I Catch Up on Field Theory After Being Sick?
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Finding Dual Basis of Linear Functionals for a Given Basis in C^3
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Multiplicative and additive identities as successors
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Designating matrices by (system2 operator system1)
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Help with Pojective Linear Groups
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Group Theory and Energy Eigenstates in Quantum Mechanics
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What is the dimension of the graph of F?
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Trying to Develop a Decryption Scheme for a Given Encryption
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Rational Numbers That Are Hard To Prove?
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I'm trying to write a program that plots the riemann zeta function
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Terminology for (anti)symmetric tensors in characteristic 2
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Proving the Chinese Remainder Theorem for Reduced Residues Modulo mn
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Non-adjoint Conjugate of Pure State Vector
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How Does a Quotient Module Relate to Its Generators in a Local Ring?
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Does there exist a transformation between a loop and a close loop ?
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Reconstructing operator matrix from subspace samples
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Orthogonal Subgroups : on Modules?
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What is SU*(N)? Definition and Explanation
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Solving: How H Normalises [H,K]?
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Matrix form of Lie algebra highest weight representation
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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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Confusion about the definition of adjoint representation and roots.
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Solving for a Lie Algebra in General
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Deriving transformation matrix from clues
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Solving AM=MB for 3x3 Matrices: Vectorize M & Find 9 Equations
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How Can Orbits Depend on Each Other in Colored Graph Automorphisms?
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Diagonal Perturbations of Linear Equations
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Can Structure Constants Define a Metric in a 10D Lie Algebra?
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Different Type of Extension Problem for Groups
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Principal component analysis (PCA) with small number of observations
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Validity of Direct Product Structure of Symmetry Group
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Tensor Products and Maps Factoring Through
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Calculating an expression for trace of generators of two Lie algebra
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Degree p Invariants in Linear Tensor Products: Bishop & Goldberg, p. 86-87
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Subalgebra of one less dimension
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How Do Radical Ideals Relate to Submodules in Algebra?
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Can B Be Determined from Given A and C in Kronecker Product?
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Is There a Name for a Subcategory Acting Like an Ideal in Category Theory?
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Is \alpha in LK determined by polynomials and elements from subfields L and K?
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Is There an Algorithm for Solving the Combinatorial Design Problem?
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Automorphism of these Cayley graphs
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Find Cartan Subalgebra for Algebra Given Generators
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Matrix prerequisities for Gauss elimination
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Lie algebras contained in Universal Enveloping Algebra
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Linear combinations of structure constants
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Accurate estimation of complex eigenvalues
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Are FG-Modules More Advantageous Than Group Representations?
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Multiplicative groups of nonzero reals and pos. reals
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Is this a route to the prime number theorem?
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Is the T x S^1 action on C^infinity functions free?
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On Finding Lie Algebra Representations
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Sparse Matrix transformation to locate columns containing zeros
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Procedure for orking out the basis of the kernel of a linear transformation.
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Non-Square Skew (Symmetric/Repeating) Matrix?
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Arithmetical function and distributions
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An identity about Gamma and Riemann function
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