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math.CO2017★ 2 cited
Pieri rules for the Jack polynomials in superspace and the 6-vertex model
J. Gatica, M. Jones, L. Lapointe
We present Pieri rules for the Jack polynomials in superspace. The coefficients in the Pieri rules are, except for an extra determinant, products of quotients of linear factors in…
math-ph2017★ 3 cited
and generalized Bannai-Ito algebras
vincent X. Genest, Luc Lapointe, Luc Vinet
Generalizations of the (rank 1) Bannai-Ito algebra are obtained from a refinement of the grade involution of the Lie super algebra . A hyperoctahedral extensio…