## Blogs about: Representation Theory

#### LOG#095. Group theory(XV).

: The topic today in this group theory thread is “sixtors and representations of the Lorentz gro … more →

#### LOG#087. Group theory(VII).

: 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

: Automorphic Representations and L-Functions for the General Linear Group Volume: 1 Dorian Goldfeld, … more →

#### Book Review: Automorphic Forms and Representations

: Automorphic Forms and Representations Daniel Bump, Stanford University, California Paperback Series: … more →

#### LOG#081. Group Theory (I).

: 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?

: 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

: 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

: Representation Theory of Finite Groups An Introductory Approach Series: Universitext Steinberg, Benj … more →

#### Newest pick-up line: manifold or representation

: 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.

: 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

: 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

: 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

: 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

: I’m preparing a talk about representations of the symmetric group so I’ll write up some … more →

Tags: Algebra., symmetric group

#### Four flavors of Schur-Weyl duality — 17 comments

: If is a finite-dimensional complex vector space, then the symmetric group naturally acts on the tens … more →

#### FI-modules over Noetherian rings

: 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

: There are, roughly speaking, two kinds of algebras that can be functorially constructed from a group … more →

#### The Submodule of Invariants — 2 comments

: If is a module of a Lie algebra , there is one submodule that turns out to be rather interesting: th … more →

Tags: Algebra., Lie Algebras

#### More New Modules from Old — 2 comments

: There are a few constructions we can make, starting with the ones from last time and applying them i … more →

Tags: Algebra., Lie Algebras

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