K^F-invariants in irreducible representations of G^F, when G=GL_n

Details K^F-invariants in irreducible representations of G^F, when G=GL_n K^F-invariants in irreducible representations of G^F, when G=GL_n

2001-07-24

arxiv.org/abs/math/0107173v2

J. Algebra 261 (2003), no. 1, 102--144

Mathematics

Representation Theory

Revised version, 38 pages; same content, improved exposition

Scientific paper

Using a general result of Lusztig, we give explicit formulas for the
dimensions of K^F-invariants in irreducible representations of G^F, when
G=GL_n, F:G->G is a Frobenius map, and K is an F-stable subgroup of finite
index in G^theta for some involution theta:G->G commuting with F. The proofs
use some combinatorial facts about characters of symmetric groups.

Affiliated with

Also associated with

No associations

Rating

K^F-invariants in irreducible representations of G^F, when G=GL_n does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with K^F-invariants in irreducible representations of G^F, when G=GL_n, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and K^F-invariants in irreducible representations of G^F, when G=GL_n will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-322748