Generalised Cartan invariants of symmetric groups

Anton Evseev

Generalised Cartan invariants of symmetric groups

Anton Evseev

Mathematics

Research output: Working paper/Preprint › Working paper

129 Downloads (Pure)

Abstract

K\"ulshammer, Olsson, and Robinson developed an l-analogue of modular representation theory of symmetric groups where l is not necessarily a prime. They gave a conjectural combinatorial description for invariant factors of the Cartan matrix in this context. We confirm their conjecture by proving a more precise blockwise conjecture due to Bessenrodt and Hill.

Original language	English
Publisher	Cornell University Library
Publication status	Published - 15 Jul 2013

Bibliographical note

Proofs simplified and proof of Lemma 3.8 corrected following referee's comments. To appear in Trans. Amer. Math. Soc

Keywords

math.RT
math.GR

Access to Document

pdf

http://arxiv.org/abs/1210.2679v3

Cite this

@techreport{9b33af8548e945ba905c11620197c590,

title = "Generalised Cartan invariants of symmetric groups",

abstract = "K\{"}ulshammer, Olsson, and Robinson developed an l-analogue of modular representation theory of symmetric groups where l is not necessarily a prime. They gave a conjectural combinatorial description for invariant factors of the Cartan matrix in this context. We confirm their conjecture by proving a more precise blockwise conjecture due to Bessenrodt and Hill.",

keywords = "math.RT, math.GR",

author = "Anton Evseev",

note = "Proofs simplified and proof of Lemma 3.8 corrected following referee's comments. To appear in Trans. Amer. Math. Soc",

year = "2013",

month = jul,

day = "15",

language = "English",

publisher = "Cornell University Library",

type = "WorkingPaper",

institution = "Cornell University Library",

}

TY - UNPB

T1 - Generalised Cartan invariants of symmetric groups

AU - Evseev, Anton

N1 - Proofs simplified and proof of Lemma 3.8 corrected following referee's comments. To appear in Trans. Amer. Math. Soc

PY - 2013/7/15

Y1 - 2013/7/15

N2 - K\"ulshammer, Olsson, and Robinson developed an l-analogue of modular representation theory of symmetric groups where l is not necessarily a prime. They gave a conjectural combinatorial description for invariant factors of the Cartan matrix in this context. We confirm their conjecture by proving a more precise blockwise conjecture due to Bessenrodt and Hill.

AB - K\"ulshammer, Olsson, and Robinson developed an l-analogue of modular representation theory of symmetric groups where l is not necessarily a prime. They gave a conjectural combinatorial description for invariant factors of the Cartan matrix in this context. We confirm their conjecture by proving a more precise blockwise conjecture due to Bessenrodt and Hill.

KW - math.RT

KW - math.GR

M3 - Working paper

BT - Generalised Cartan invariants of symmetric groups

PB - Cornell University Library

ER -

Generalised Cartan invariants of symmetric groups

Abstract

Bibliographical note

Keywords

Access to Document

Fingerprint

Cite this