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.
Graduate Can Complex Numbers Really Be Interpreted as Energy Levels in Physics?
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Graduate Homogenous Polynomials and Algebraically Independent Sets
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Undergrad Ax=b; every vector b is exactly from one vector x (from row space of A) <more>?
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Graduate What are some strategies for classifying p-groups?
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Graduate Is Selberg's Zeta Function Proof of the Riemann Hypothesis?
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Graduate Quadratic Forms: Closed Form from Values on Basis?
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Undergrad Gaussian elimination for homogeneous linear systems
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Graduate What is the relationship between group theory and the number of Latin squares?
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Graduate Understanding Monotonic Partitioning: Explanation and Example
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Graduate Analytic form of eigenpairs for a special matrix
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Graduate Question on decomposition of a matrix
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Graduate Maximise the following expression subject to the constraint
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MHB Finite vs Ring Groups: Examining Theorems
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Graduate Normal forms of polynomials over a semiring
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Graduate Vector space (no topology) basis
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Graduate Greatest common divisor of polynomials
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Graduate Completeness of orthonormal functions
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Graduate How do you recover a group from the automorphisms of the forgetful functor?
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Graduate Representation of a Rotation Matrix
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Graduate Requirements for Hom(-,A) to be exact.
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Undergrad Prove that if T is injective, T*T is invertible
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Graduate Demostration of Taimanov's Extension Theorem
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Graduate Uniqueness of Group Presentations
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Graduate Are all (q) prime ideals in Z(\rho)?
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Graduate Any deep results from Hopf Algebras (or Quantum groups)?
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Graduate Fraction of Elements in a group mapped to own inverse by automorphism
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Graduate Can prime fields act two ways on the same abelian group?
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Graduate Uniqueness issue of direct sum decompostion of a representation?
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Graduate Composition Factors cyclic IFF finite group soluble
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Graduate Fpt problem in quadratic residues
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Graduate Can You Determine a Matrix M from Quadratic Forms?
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Graduate Pure Pairwise Nash Equilibriums in multiplayer games
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Graduate How to write the algorithm? I have figured out a method to find the inverse.
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Graduate Schur product for complex numbers.
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Graduate What can the multiplication table tell us about the representation?
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Graduate Can every ideal be decomposed into a triangular Groebner basis?
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Graduate Calculate curvature by coordinate component method
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Graduate Simple roots of a Lie Group from the full root system
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Graduate Relation between subspace union and probabilities union
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Graduate How are topologically separated graphs related in linear equations?
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Graduate Number Derivative: A General Pursuit
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Graduate What Determines the Rank of a 2x2x2 Tensor?
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Graduate Does the Rank of a Commutator Determine Common Eigenvectors?
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Graduate Algorithm for an elliptic equation
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MHB 5.3 Show that a square matrix with a zero row is not invertible.
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Graduate A problem in Finite Group Theory
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Graduate Is G a DFT Matrix in Soft-decision Decoding of Polar Codes?
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Graduate Inverting big matrices. REALLY BIG
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Graduate Does Being an Automorphism of L Imply Being an Automorphism of K?
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Graduate Finding the Analytic Expression for Exponential of a Tensor Product Matrix
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Graduate Normalizing error of affine transformation
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Graduate What techniques can speed up counting pseudoprimes?
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Graduate Eigenvalue Spectrum of this Operator
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Graduate Cool category construction: Q-trees
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Graduate Minimum degree of polynomial time NP complete problem algorithm
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Graduate Proving A4 Has No Subgroup of Order 6
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Graduate Function taking vectors of Rn as inputs
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Undergrad Difference symmetric matrices vector space and hermitian over R
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Graduate Interpretation of categorical construction
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Graduate Every Syzygy is a linear combination of pair-wise Syzygies
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MHB *412 what value(s) of h is b in plane spanned
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High School Why is the distributive law correct in algebra, like in arithmetic?
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Graduate What is the Meaning of Lie and Covariant Derivatives in Curved Spaces?
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Graduate What is the construction for taking inverse images of subschemes?
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Graduate Probability of a matrix having full rank
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Undergrad How to Multiply 4x4 Matrices Using a 3x3 Calculator?
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Graduate Checking for a point inside a region of a spherical surface
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Graduate Tensor Product of C with itself over R.
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Graduate LDU decomposition - sparse matrix
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Graduate Distance on arrays of unit-quaternions
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High School Solving a Linear Programming Problem which Requires Integer Solutions
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MHB Solve linear algebra equation 2x – 1 = 9 – 3x
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Undergrad Factoring question - generalized factoring in integers
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Graduate Proving Normal Field Extensions with an Example | Field Extension Normality
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Graduate Reaching all of R^N by rotations from a linear subspace
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Graduate Is There a Proven Link Between Powers in Beals and Fermat's Equations?
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Graduate Hilbert's 17th and uniquely ordered fields
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Graduate Understanding Liouville Space Super-Operators: A Simple Computation?
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Graduate Prime Number Related Notation Question
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Graduate Dimension of preimage question
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Graduate Procedure to compute a multiplicative inverse
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Graduate Transition Matrix for a betting game
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Graduate Sum of infinitesimal rotations around different points in 2D space ?
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Undergrad Gaussian elimination for a singular square matrix
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Graduate Building positive roots from simple roots
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Graduate Closed-form determinant of a hermitian banded toeplitz matrix
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Graduate Normalizing a 4x4 matrix with unknown functions as elements
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Graduate Cartesian coordinate space transformation question
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Graduate Generate random irreducible matrix
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Graduate Understanding E8 Root Systems: A Comprehensive Guide to Prime Roots and Patterns
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Undergrad Finding integer numbers using basic operations
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Graduate Subalgebras of nipotent algebras
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Graduate Endomorphism ring over an elliptic curve
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High School Isn't the concept of a basis circular?
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MHB Linear profit, graphs and equations.
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Graduate Can the determinant of a combinatorial matrix be proven to always equal 1?
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Graduate Real and complex canonical forms
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Graduate Does the Factor (x+1) Affect Polynomial Coset Uniqueness in F_2[x]?
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Undergrad Coordinate System Transformation
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Graduate What is the solution space for the equation 2^x - 5^y = 3 in modular arithmetic?
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