Grothendieck rings of periplectic Lie superalgebras

Mee Seong Im; Shifra Reif; Vera Serganova

doi:10.4310/mrl.2021.v28.n4.a8

Grothendieck rings of periplectic Lie superalgebras

Mee Seong Im, Shifra Reif, Vera Serganova

Department of Mathematics

Bar-Ilan University

Research output: Contribution to journal › Article › peer-review

Abstract

We describe explicitly the Grothendieck rings of finite-dimensional representations of the periplectic Lie superalgebras. In particular, the Grothendieck ring of the Lie supergroup P (n) is isomorphic to the ring of symmetric polynomials in x₁^±1, . . ., x_n^±1 whose evaluation x₁ = x₂^-1 = t is independent of t.

Original language	English
Pages (from-to)	1175-1195
Number of pages	21
Journal	Mathematical Research Letters
Volume	28
Issue number	4
DOIs	https://doi.org/10.4310/mrl.2021.v28.n4.a8
State	Published - 2021

All Science Journal Classification (ASJC) codes

General Mathematics

Access to Document

10.4310/mrl.2021.v28.n4.a8

Cite this

@article{4f8b21b56a164736b6dd604573569a35,

title = "Grothendieck rings of periplectic Lie superalgebras",

abstract = "We describe explicitly the Grothendieck rings of finite-dimensional representations of the periplectic Lie superalgebras. In particular, the Grothendieck ring of the Lie supergroup P (n) is isomorphic to the ring of symmetric polynomials in x1±1, . . ., xn±1 whose evaluation x1 = x2-1 = t is independent of t.",

author = "Im, {Mee Seong} and Shifra Reif and Vera Serganova",

year = "2021",

doi = "10.4310/mrl.2021.v28.n4.a8",

language = "الإنجليزيّة",

volume = "28",

pages = "1175--1195",

journal = "Mathematical Research Letters",

issn = "1073-2780",

publisher = "International Press of Boston, Inc.",

number = "4",

}

TY - JOUR

T1 - Grothendieck rings of periplectic Lie superalgebras

AU - Im, Mee Seong

AU - Reif, Shifra

AU - Serganova, Vera

PY - 2021

Y1 - 2021

N2 - We describe explicitly the Grothendieck rings of finite-dimensional representations of the periplectic Lie superalgebras. In particular, the Grothendieck ring of the Lie supergroup P (n) is isomorphic to the ring of symmetric polynomials in x1±1, . . ., xn±1 whose evaluation x1 = x2-1 = t is independent of t.

AB - We describe explicitly the Grothendieck rings of finite-dimensional representations of the periplectic Lie superalgebras. In particular, the Grothendieck ring of the Lie supergroup P (n) is isomorphic to the ring of symmetric polynomials in x1±1, . . ., xn±1 whose evaluation x1 = x2-1 = t is independent of t.

UR - http://www.scopus.com/inward/record.url?scp=85120811381&partnerID=8YFLogxK

U2 - 10.4310/mrl.2021.v28.n4.a8

DO - 10.4310/mrl.2021.v28.n4.a8

M3 - مقالة

SN - 1073-2780

VL - 28

SP - 1175

EP - 1195

JO - Mathematical Research Letters

JF - Mathematical Research Letters

IS - 4

ER -

Grothendieck rings of periplectic Lie superalgebras

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this