From Partition Identities to a Combinatorial Approach to Explicit Satake Inversion

Heekyoung Hahn, Ji Sun Huh, Eun Sung Lim, Jaebum Sohn

Research output: Contribution to journalArticle

Abstract

In this paper, we provide combinatorial proofs for certain partition identities which arise naturally in the context of Langlands’ beyond endoscopy proposal. These partition identities motivate an explicit plethysm expansion of Sym jSym kV for GL 2 in the case k = 3. We compute the plethysm explicitly for the cases k = 3, 4. Moreover, we use these expansions to explicitly compute the basic function attached to the symmetric power L-function of GL 2 for these two cases.

Original languageEnglish
Pages (from-to)543-562
Number of pages20
JournalAnnals of Combinatorics
Volume22
Issue number3
DOIs
Publication statusPublished - 2018 Sep 1

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Partition Identities
Inversion
Endoscopy
L-function
Context

All Science Journal Classification (ASJC) codes

  • Discrete Mathematics and Combinatorics

Cite this

Hahn, Heekyoung ; Huh, Ji Sun ; Lim, Eun Sung ; Sohn, Jaebum. / From Partition Identities to a Combinatorial Approach to Explicit Satake Inversion. In: Annals of Combinatorics. 2018 ; Vol. 22, No. 3. pp. 543-562.
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From Partition Identities to a Combinatorial Approach to Explicit Satake Inversion. / Hahn, Heekyoung; Huh, Ji Sun; Lim, Eun Sung; Sohn, Jaebum.

In: Annals of Combinatorics, Vol. 22, No. 3, 01.09.2018, p. 543-562.

Research output: Contribution to journalArticle

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