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.
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Undergrad Variant of Baker-Campbell-Hausdorff Formula
- thatboi
- · Replies 3 ·
Undergrad Showing C4 and Z4 are isomorphic
- JackNicholson
- · Replies 1 ·
Undergrad Proof for subgroup -- How prove it is a subgroup of Z^m?
- Peter_Newman
- · Replies 11 ·
Undergrad Parallel vector, I need a bit of explanation
- lioric
- · Replies 4 ·
Undergrad Proof regarding congruence relation
- Peter_Newman
- · Replies 4 ·
Undergrad Need Help understanding Griffiths [Vector Analysis]
- Slimy0233
- · Replies 20 ·
Undergrad Question on proof ##\Lambda^{\perp}(AU) = U^{-1} \Lambda^{\perp}(A)##
- Peter_Newman
- · Replies 2 ·
Graduate Proving the universal enveloping algebra of a Lie algebra is Noetherian
- HDB1
- · Replies 4 ·
Undergrad A wonderful flow chart for taxonomy of matrices
- swampwiz
- · Replies 1 ·
Undergrad Find the Eigenvalues and eigenvectors of 3x3 matrix
- Michael_0039
- · Replies 12 ·
Graduate Questions about solvable Lie algebras
- HDB1
- · Replies 7 ·
High School Attempt to solve this system of three linear equations
- Elara04
- · Replies 10 ·
Graduate Second direction in semisimple Lie algebra proof
- HDB1
- · Replies 9 ·
Undergrad Is the Order of an Automorphism in a Field with Characteristic p Equal to p?
- HDB1
- · Replies 2 ·
Graduate What is the definition of quotient Lie algebra?
- HDB1
- · Replies 15 ·
Graduate About Schur's lemma in lie algebra
- HDB1
- · Replies 2 ·
Graduate About universal enveloping algebra
- HDB1
- · Replies 19 ·
Graduate About semidirect product of Lie algebra
- HDB1
- · Replies 19 ·
Graduate How to compute the Casimir element of Lie algebra sl(2)?
- HDB1
- · Replies 24 ·
Graduate Proving Cartan Subalgebra $\mathbb{K} H$ is Self-Normalizer
- HDB1
- · Replies 4 ·
Graduate How Do We Prove ##L / Z(L)## is Nilpotent in Engel's Theorem?
- HDB1
- · Replies 4 ·
Graduate How do we prove that a nonzero nilpotent Lie algebra has a nontrivial center?
- HDB1
- · Replies 9 ·
Undergrad About derivations of lie algebra
- HDB1
- · Replies 5 ·
Undergrad Is SL(2,C) homeomorphic to SU(2)×T via QR decomposition?
- aalma
- · Replies 1 ·
Undergrad Proof of Column Extraction Theorem for Finding a Basis for Col(A)
- mattTch
- · Replies 3 ·
Undergrad Want to understand how to express the derivative as a matrix
- nomadreid
- · Replies 8 ·
Undergrad Smallest subspace if a plane and a line are passing through the origin
- sindhuja
- · Replies 2 ·
Undergrad Using the orbit-stabilizer theorem to identify groups
- aalma
- · Replies 11 ·
High School Solving for the Nth divergence in any coordinate system
- Vanilla Gorilla
- · Replies 41 ·
High School Row reduction, Gaussian Elimination on augmented matrix
- Rafa3D
- · Replies 6 ·
Undergrad Anti-unitary operators and the Hermitian conjugate
- pellman
- · Replies 2 ·
Undergrad Tensor decomposition, Sym representations and irreps.
- knowwhatyoudontknow
- · Replies 1 ·
Undergrad Why is B-alpha only a scaled version of alpha if they share eigenvalue lambda?
- expos4ever
- · Replies 6 ·
Undergrad Finite many Lattice Points in Sphere?
- Peter_Newman
- · Replies 7 ·
Undergrad Moving inner products in bra-ket notation
- expos4ever
- · Replies 8 ·
Undergrad Representing unitary matrices in a specific form
- aalma
- · Replies 3 ·
Undergrad Derivation of Cauchy-Schwarz Inequality
- member 731016
- · Replies 14 ·
Undergrad Geometric algebra blade rejection definition in higher dimensions
- Hiero
- · Replies 11 ·
Undergrad Absolute value bars in dot product derivation
- member 731016
- · Replies 2 ·
High School Vector Calculus in 1D: ± to Show Magnitude?
- MatinSAR
- · Replies 7 ·
Undergrad Why does the dot product of unit vectors equal the cosine of the angle between them?
- TGV320
- · Replies 10 ·
Undergrad Question regarding fundamental region of a lattice
- Peter_Newman
- · Replies 20 ·
Graduate How to take a matrix outside the diagonal operator?
- Umesh
- · Replies 5 ·
Undergrad What are double cosets in group theory?
- Heidi
- · Replies 4 ·
Undergrad If T is diagonalizable then is restriction operator diagonalizable?
- CGandC
- · Replies 3 ·
Graduate Solve a nonlinear matrix equation
- rehan_eme
- · Replies 12 ·
Undergrad Cycles from patterns in a permutation matrix
- nomadreid
- · Replies 3 ·
Undergrad Are adjacent transpositions fixed or determined at each step?
- nomadreid
- · Replies 4 ·
Undergrad Show ##sup\{a \in \mathbb{Q}: a^2 \leq 3\} = \sqrt{3}##
- JVEK7713
- · Replies 4 ·
Graduate Completeness of the formal power series and valued fields
- aalma
- · Replies 2 ·
High School Transformation Rules For A General Tensor M
- Vanilla Gorilla
- · Replies 1 ·
High School Angle between b_i and orthogonal complement in Gram-Schmidt
- Peter_Newman
- · Replies 5 ·
High School Array Representation Of A General Tensor Question
- Vanilla Gorilla
- · Replies 2 ·
Undergrad Orthonormal basis expression for ordinary contraction of a tensor
- Shirish
- · Replies 2 ·
Undergrad A = norm-preserving linear map (+other conditions) => A = lin isometry
- Shirish
- · Replies 4 ·
Undergrad Consistent matrix index notation for change of basis transformations
- Shirish
- · Replies 12 ·
Undergrad Why scalar product equality implies d₁* = b₁*/||b₁*||²
- Peter_Newman
- · Replies 19 ·
Undergrad Properties of Lattice Projections
- Peter_Newman
- · Replies 23 ·
High School Are dummy indices the only terms summed in Einstein notation?
- Vanilla Gorilla
- · Replies 2 ·
Undergrad Smoothing algorithm for real-world data
- darren0123
- · Replies 12 ·
Undergrad Frequency of prime number gaps according to (p-1)/(p-2)
- timmdeeg
- · Replies 2 ·
Undergrad How to do algebra on the Kitaev toric code grid?
- James1238765
- · Replies 18 ·
Undergrad Why is the dual of Z^n again Z^n ?
- Peter_Newman
- · Replies 13 ·
Graduate How Does Induced Mapping Function in Algebraic Topology?
- srgmath2905
- · Replies 2 ·
Undergrad Determining elements of Markov matrix from a known stationary vector
- Adel Makram
- · Replies 24 ·
Graduate What is the generator of the cyclic group (Z,+)?
- LagrangeEuler
- · Replies 7 ·
Undergrad Parallel and perpendicular components
- Portuga
- · Replies 7 ·
Undergrad The Price of Beer - Linear Algebra Problem
- diegogarcia
- · Replies 44 ·
Undergrad Full Course in Group Theory (and More) on YouTube
- caffeinemachine
- · Replies 7 ·
Undergrad Congruence for Symmetric and non-Symmetric Matrices for Quadratic Form
- CGandC
- · Replies 7 ·
Undergrad When is the commutator operator [X, A] unitary?
- nojojo121
- · Replies 17 ·
Graduate Are the numbers ##eπ## and ##e+ π## transcendental?
- chwala
- · Replies 6 ·
Undergrad Expressing polynomial as linear combination of three polynomials
- bigmike94
- · Replies 6 ·
Undergrad Getting eigenvalues of an arbitrary matrix with programming
- Trollfaz
- · Replies 1 ·
Undergrad What group might represent the symmetries of these carbon rings?
- askmathquestions
- · Replies 1 ·
Graduate Proof of the inequality of a reduced basis
- Peter_Newman
- · Replies 7 ·
Undergrad Does a set of matrices form a ring? Or what is the algebraic structure?
- askmathquestions
- · Replies 24 ·
High School Elegant way to prove ##AB^{n}## commute
- askmathquestions
- · Replies 1 ·
High School Finding a matrix that transforms one vector into another
- askmathquestions
- · Replies 4 ·
Undergrad Group like operations that are not associative
- pervect
- · Replies 3 ·
Undergrad Transform a 2x2 matrix into an anti-symmetric matrix
- dRic2
- · Replies 5 ·
Undergrad Proving L ⊆ f⁻¹(f(L)) and f⁻¹(f(P)) ⊆ P for sets and functions
- PhysicsRock
- · Replies 4 ·
Undergrad Algebra equation with variable as exponent
- adamaero
- · Replies 7 ·
Undergrad Existence and Uniqueness of Inverses
- jolly_math
- · Replies 5 ·
Insights Évariste Galois and His Theory
- fresh_42
- · Replies 28 ·
Undergrad How Does the Successive Minima of a Lattice Compare to Basis Vectors?
- Peter_Newman
- · Replies 8 ·
Undergrad How can I convince myself that I can find the inverse of this matrix?
- Hall
- · Replies 34 ·
Undergrad Is -1 in U=eiA an Exponent or an Inverse?
- dyn
- · Replies 7 ·
Undergrad Proving the orthogonal projection identity with Gram-Schmidt vectors
- Peter_Newman
- · Replies 25 ·
Graduate Question regarding proof of convex body theorem
- Peter_Newman
- · Replies 21 ·
Transformation of a Line Segment
- bwpbruce
- · Replies 6 ·
Question from Kamal about Gaussian Elimination via email
- Prove It
- · Replies 1 ·
Difference Between Tensor Product and Outer Product
- Sudharaka
- · Replies 1 ·
Find the equation of the plane given a point and two planes
- sawdee
- · Replies 1 ·
Sava's question via email about symmetric matrices
- Prove It
- · Replies 1 ·
Sava's question via email about matrix multiplication
- Prove It
- · Replies 1 ·
Jamal's Q via email solving a system
- Prove It
- · Replies 1 ·
Finding standard basis vectors with given vectors
- Sudharaka
- · Replies 1 ·
Effie's question via email about Eigenvalues, Eigenvectors and Diagonalisation
- Prove It
- · Replies 1 ·
Tensor Products - Dummit and Foote - Section 10-4, pages 359 - 362
- Math Amateur
- · Replies 1 ·