Candidate for the crystal B(−∞) for the queer Lie superalgebra

Ben Salisbury; Travis Scrimshaw

Candidate for the crystal B(−∞) for the queer Lie superalgebra

Mathematics

Research output: Contribution to conference › Paper › peer-review

Abstract

It is shown that the direct limit of the semistandard decomposition tableau model for polynomial representations of the queer Lie superalgebra exists, which is believed to be the crystal for the upper half of the corresponding quantum group. An extension of this model to describe the direct limit combinatorially is given. Furthermore, it is shown that the polynomials representations may be recovered from the limit in most cases.

Original language	English
State	Published - Jan 1 2019
Event	31st International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2019 - Ljubljana, Slovenia Duration: Jul 1 2019 → Jul 5 2019

Conference

Conference	31st International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2019
Country/Territory	Slovenia
City	Ljubljana
Period	07/1/19 → 07/5/19

Keywords

Crystal
Decomposition tableau
Queer lie superalgebra

Cite this

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title = "Candidate for the crystal B(−∞) for the queer Lie superalgebra",

abstract = "It is shown that the direct limit of the semistandard decomposition tableau model for polynomial representations of the queer Lie superalgebra exists, which is believed to be the crystal for the upper half of the corresponding quantum group. An extension of this model to describe the direct limit combinatorially is given. Furthermore, it is shown that the polynomials representations may be recovered from the limit in most cases.",

keywords = "Crystal, Decomposition tableau, Queer lie superalgebra",

author = "Ben Salisbury and Travis Scrimshaw",

note = "Funding Information: ∗salis1bt@cmich.edu. Ben Salisbury was partially supported by the Simons Foundation grant 429950. †tcscrims@gmail.com. Travis Scrimshaw was partially supported by the Australian Research Council DP170102648. Publisher Copyright: {\textcopyright} FPSAC 2019 - 31st International Conference on Formal Power Series and Algebraic Combinatorics. All rights reserved.; 31st International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2019 ; Conference date: 01-07-2019 Through 05-07-2019",

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AU - Salisbury, Ben

AU - Scrimshaw, Travis

N1 - Funding Information: ∗salis1bt@cmich.edu. Ben Salisbury was partially supported by the Simons Foundation grant 429950. †tcscrims@gmail.com. Travis Scrimshaw was partially supported by the Australian Research Council DP170102648. Publisher Copyright: © FPSAC 2019 - 31st International Conference on Formal Power Series and Algebraic Combinatorics. All rights reserved.

PY - 2019/1/1

Y1 - 2019/1/1

N2 - It is shown that the direct limit of the semistandard decomposition tableau model for polynomial representations of the queer Lie superalgebra exists, which is believed to be the crystal for the upper half of the corresponding quantum group. An extension of this model to describe the direct limit combinatorially is given. Furthermore, it is shown that the polynomials representations may be recovered from the limit in most cases.

AB - It is shown that the direct limit of the semistandard decomposition tableau model for polynomial representations of the queer Lie superalgebra exists, which is believed to be the crystal for the upper half of the corresponding quantum group. An extension of this model to describe the direct limit combinatorially is given. Furthermore, it is shown that the polynomials representations may be recovered from the limit in most cases.

KW - Crystal

KW - Decomposition tableau

KW - Queer lie superalgebra

UR - http://www.scopus.com/inward/record.url?scp=85092120170&partnerID=8YFLogxK

M3 - Paper

AN - SCOPUS:85092120170

T2 - 31st International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2019

Y2 - 1 July 2019 through 5 July 2019

ER -

Candidate for the crystal B(−∞) for the queer Lie superalgebra

Abstract

Conference

Keywords

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