Algebra Seminar: Drew Jaramillo (UCSB), 'Quantum Subgroups of SL_n'

Event Date: 

Monday, October 14, 2013 -
2:00pm to 3:00pm

Event Location: 

  • 4607B South Hall

Event Contact: 

Ken Goodearl

Email: goodearl@math.ucsb.edu

Abstract. This talk will give further examples of quantum groups. In particular we will explore how to ``quantize" the standard positive and negative Borel subgroups and their unipotent radicals in in SL_n. Moreover we will show that the standard unipotent radical is the algebra of coinvariants from the natural O_q(T)-coaction on the standard Borel subgroup. If time permits, we will also show how one may further generalize our results to the standard parabolic subgroups of SL_n.