TY - JOUR
T1 - Candidate for the crystal B(- ∞) for the queer Lie superalgebra
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:
© 2019, Seminaire Lotharingien de Combinatoire. All Rights Reserved.
PY - 2019
Y1 - 2019
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=85161436789&partnerID=8YFLogxK
M3 - Article
AN - SCOPUS:85161436789
SN - 1286-4889
JO - Seminaire Lotharingien de Combinatoire
JF - Seminaire Lotharingien de Combinatoire
IS - 82
M1 - #54
ER -