October 1, 2014
4:30PM - 5:30PM
CH 228
Add to Calendar
2014-10-01 16:30:00
2014-10-01 17:30:00
Representations and Lie Theory Seminar - Thorsten Heidersdorf
Title: A Reduction Method for Representations of the General Linear SupergroupSpeaker: Thorsten Heidersdorf, The Ohio State UniversityAbstract: We describe a method to reduce certain questions (like tensor product decomposition, dimension formulas) about finite dimensional representations of the algebraic supergroup GL(m|n) resp. the Lie superalgebra gl(m|n) to lower rank cases such as gl(m-r|n-r) for some r. This is done in the following way: To every representation and every odd nilpotent element of of gl(m|n) we associate an infinite complex whose cohomology groups are representations of gl(m-r,n-r). We compute the cohomology of this complex if the representation is irreducible and give applications.
CH 228
OSU ASC Drupal 8
ascwebservices@osu.edu
America/New_York
public
Date Range
Add to Calendar
2014-10-01 16:30:00
2014-10-01 17:30:00
Representations and Lie Theory Seminar - Thorsten Heidersdorf
Title: A Reduction Method for Representations of the General Linear SupergroupSpeaker: Thorsten Heidersdorf, The Ohio State UniversityAbstract: We describe a method to reduce certain questions (like tensor product decomposition, dimension formulas) about finite dimensional representations of the algebraic supergroup GL(m|n) resp. the Lie superalgebra gl(m|n) to lower rank cases such as gl(m-r|n-r) for some r. This is done in the following way: To every representation and every odd nilpotent element of of gl(m|n) we associate an infinite complex whose cohomology groups are representations of gl(m-r,n-r). We compute the cohomology of this complex if the representation is irreducible and give applications.
CH 228
Department of Mathematics
math@osu.edu
America/New_York
public
Title: A Reduction Method for Representations of the General Linear Supergroup
Speaker: Thorsten Heidersdorf, The Ohio State University
Abstract: We describe a method to reduce certain questions (like tensor product decomposition, dimension formulas) about finite dimensional representations of the algebraic supergroup GL(m|n) resp. the Lie superalgebra gl(m|n) to lower rank cases such as gl(m-r|n-r) for some r. This is done in the following way: To every representation and every odd nilpotent element of of gl(m|n) we associate an infinite complex whose cohomology groups are representations of gl(m-r,n-r). We compute the cohomology of this complex if the representation is irreducible and give applications.
