Blogs about: Representation Theory
Featured Blog
The Submodule of Invariants
If is a module of a Lie algebra , there is one submodule that turns out to be rather interesting: the submodule of vectors such that for all . We call these vectors “invariants” of . As an… more →
The Unapologetic Mathematician
LOG#095. Group theory(XV).
wrote 1 month ago: The topic today in this group theory thread is “sixtors and representations of the Lorentz gro … more →
LOG#087. Group theory(VII).
wrote 1 month ago: Representation theory is the part of Group Theory which is used in the main applications. Matrices a … more →
Book Review: Automorphic Representations and L-Functions for the General Linear Group
wrote 1 month ago: Automorphic Representations and L-Functions for the General Linear Group Volume: 1 Dorian Goldfeld, … more →
Book Review: Automorphic Forms and Representations
wrote 1 month ago: Automorphic Forms and Representations Daniel Bump, Stanford University, California Paperback Series: … more →
LOG#081. Group Theory (I).
wrote 1 month ago: I am going to build a “minicourse” thread on Group Theory in this and the next blog post … more →
Interlude: What, exactly, is a representation?
wrote 1 month ago: I have decided to take a detour from the ongoing series on operator algebra to briefly discuss the t … more →
A Slightly More User Friendly Post - Some (Real) Math Problems and Ideas That Get Your Mind Running
wrote 2 months ago: Obviously, some of the tough and deep math may not be fit for every person, so I decided to write a … more →
Book Review: Representation Theory of Finite Groups
wrote 2 months ago: Representation Theory of Finite Groups An Introductory Approach Series: Universitext Steinberg, Benj … more →
Newest pick-up line: manifold or representation
wrote 3 months ago: Hey baby, are you a manifold, or a representation? Because I can’t decide what I like more: yo … more →
Young symmetrizer, Specht modules and examples.
wrote 4 months ago: Given a positive integer and a tableau for , I defined in my last post two subgroups of : and . We n … more →
A combinatorial lemma on tableaux.
— 1 comment
wrote 4 months ago: Let T be a Young tableau of shape . We will denote entries of using the notation of matrices. For ex … more →
Partitions of n, Young tableaux and tabloids.
— 1 comment
wrote 4 months ago: This is a follow-up of my this post. There is a nice way to represent and visualize partitions of . … more →
Module decompositions and idempotents.
— 1 comment
wrote 4 months ago: In this post, by a ring it will be understood that the ring comes with a multiplicative identity . A … more →
Conjugacy classes of symmetric groups
— 1 comment
wrote 4 months ago: I’m preparing a talk about representations of the symmetric group so I’ll write up some … more →
Four flavors of Schur-Weyl duality
— 17 comments
wrote 6 months ago: If is a finite-dimensional complex vector space, then the symmetric group naturally acts on the tens … more →
FI-modules over Noetherian rings
wrote 7 months ago: New paper on the arXiv, joint with Tom Church, Benson Farb, and UW grad student Rohit Nagpal. In ou … more →
Noncommutative probability and group theory
wrote 8 months ago: There are, roughly speaking, two kinds of algebras that can be functorially constructed from a group … more →
The Submodule of Invariants
— 2 comments
wrote 8 months ago: If is a module of a Lie algebra , there is one submodule that turns out to be rather interesting: th … more →
More New Modules from Old
— 2 comments
wrote 8 months ago: There are a few constructions we can make, starting with the ones from last time and applying them i … more →
