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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 A wonderful flow chart for taxonomy of matrices
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Undergrad Find the Eigenvalues and eigenvectors of 3x3 matrix
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Graduate Questions about solvable Lie algebras
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High School Attempt to solve this system of three linear equations
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Graduate Understanding the Second Direction in Semi Simple Lie Algebra
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Undergrad Is the Order of an Automorphism in a Field with Characteristic p Equal to p?
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Graduate What is the definition of quotient Lie algebra?
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Graduate About Schur's lemma in lie algebra
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Graduate About universal enveloping algebra
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Graduate About semidirect product of Lie algebra
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Graduate How to compute the Casimir element of Lie algebra sl(2)?
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Graduate Proving Cartan Subalgebra $\mathbb{K} H$ is Self-Normalizer
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Graduate How Do We Prove ##L / Z(L)## is Nilpotent in Engel's Theorem?
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Graduate How do we prove that a nonzero nilpotent Lie algebra has a nontrivial center?
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Undergrad About derivations of lie algebra
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Undergrad Proving SL_2(C) Homeomorphic to SU(2)xT & Simple Connectedness
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Undergrad Proof of Column Extraction Theorem for Finding a Basis for Col(A)
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Undergrad Want to understand how to express the derivative as a matrix
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Undergrad Smallest subspace if a plane and a line are passing through the origin
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Undergrad Using the orbit-stabilizer theorem to identify groups
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High School Solving for the Nth divergence in any coordinate system
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High School Row reduction, Gaussian Elimination on augmented matrix
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Undergrad Anti-unitary operators and the Hermitian conjugate
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Undergrad Tensor decomposition, Sym representations and irreps.
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Undergrad Need help understanding Commuting Operators
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Undergrad Finite many Lattice Points in Sphere?
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Undergrad Bra-Ket Notation Manipulations: Quantum State Expansion
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Undergrad About writing a unitary matrix in another way
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Undergrad Derivation of Cauchy-Schwarz Inequality
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Undergrad Geometric Algebra: Rejection of one blade in another
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Undergrad Absolute value bars in dot product derivation
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High School Vector Calculus in 1D: ± to Show Magnitude?
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Undergrad Law of Cosines in Linear Algebra: Understanding the Dot Product of Unit Vectors
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Undergrad Question regarding fundamental region of a lattice
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Graduate How to take a matrix outside the diagonal operator?
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Undergrad What are double cosets in group theory?
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Undergrad If T is diagonalizable then is restriction operator diagonalizable?
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Graduate Solve a nonlinear matrix equation
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Undergrad Cycles from patterns in a permutation matrix
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Undergrad Adjacent transpositions: question about definition
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Undergrad Show ##sup\{a \in \mathbb{Q}: a^2 \leq 3\} = \sqrt{3}##
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Graduate Completeness of the formal power series and valued fields
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High School Transformation Rules For A General Tensor M
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High School Question about orthogonal vectors and the cosine
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High School Array Representation Of A General Tensor Question
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Undergrad Orthonormal basis expression for ordinary contraction of a tensor
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Undergrad A = norm-preserving linear map (+other conditions) => A = lin isometry
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Undergrad Consistent matrix index notation when dealing with change of basis
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Undergrad Question about implication from scalar product
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Undergrad Properties of Lattice Projections
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High School Beginner Einstein Notation Question On Summation In Regards To Index
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Undergrad Smoothing algorithm for real-world data
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Undergrad Frequency of prime number gaps according to (p-1)/(p-2)
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Undergrad How to do algebra on the Kitaev toric code grid?
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Undergrad Why is the dual of Z^n again Z^n ?
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Graduate How Does Induced Mapping Function in Algebraic Topology?
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Undergrad Determining elements of Markov matrix from a known stationary vector
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Graduate What is the generator of the cyclic group (Z,+)?
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Undergrad Parallel and perpendicular components
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Undergrad The Price of Beer - Linear Algebra Problem
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Undergrad Full Course in Group Theory (and More) on YouTube
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Undergrad Congruence for Symmetric and non-Symmetric Matrices for Quadratic Form
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Undergrad Unitary Operator: Can X Make L(A) Unitary?
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Graduate Are the numbers ##eπ## and ##e+ π## transcendental?
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Undergrad Is this a typo or am I missing something? (polynomial equations)
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Undergrad Getting eigenvalues of an arbitrary matrix with programming
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Undergrad What group might represent the symmetries of these carbon rings?
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Graduate Proof of the inequality of a reduced basis
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Undergrad Does a set of matrices form a ring? Or what is the algebraic structure?
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High School Elegant way to prove ##AB^{n}## commute
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High School Turn one vector into another vector
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Undergrad Group like operations that are not associative
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Undergrad Transform a 2x2 matrix into an anti-symmetric matrix
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Undergrad Is the solution to this problem as trivial as I think?
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Undergrad Algebra equation with variable as exponent
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Undergrad Existence and Uniqueness of Inverses
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Insights Évariste Galois and His Theory
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Undergrad How Does the Successive Minima of a Lattice Compare to Basis Vectors?
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Undergrad How can I convince myself that I can find the inverse of this matrix?
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Undergrad Is -1 in U=eiA an Exponent or an Inverse?
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Undergrad Question about algebraic transformation
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Graduate Question regarding proof of convex body theorem
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MHB Transformation of a Line Segment
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MHB Question from Kamal about Gaussian Elimination via email
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MHB Difference Between Tensor Product and Outer Product
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MHB Find the equation of the plane given a point and two planes
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MHB Sava's question via email about symmetric matrices
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MHB Sava's question via email about matrix multiplication
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MHB Jamal's Q via email solving a system
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MHB Saqifriends's Question from Math Help Forum
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MHB Effie's question via email about Eigenvalues, Eigenvectors and Diagonalisation
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MHB Tensor Products - Dummit and Foote - Section 10-4, pages 359 - 362
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MHB Is Gauss' Lemma the Key to Non-UFDs in Polynomial Rings?
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MHB Mason's question via Facebook about solving a system of equations
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Undergrad What Is the Study of Homomorphisms from Abstract Groups to GL(n)?
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Undergrad The limit of the perimeter of a Koch snowflake as s(0) goes to zero
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MHB Finding z-(1/z) Given z=r(cosx+isinx)
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MHB Is z + z¯ and z × z¯ Real for Any Complex Number z?
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MHB How Do You Solve These Simultaneous Equations?
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Undergrad What are the significant angles between intersecting planes in 4D space?
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