Duality on Fock spaces and combinatorial energy functions

作者：Kwon Jae Hoon^*; Park Euiyong

来源：Journal of Combinatorial Theory - Series A, 2015, 134: 121-146.

DOI：10.1016/j.jcta.2015.03.005

• Energy function
• Fock space
• Howe duality
• Parabolically semistandard tableau

We generalize in a combinatorial way the notion of the energy function of affine type A on a sequence of row or column tableaux to the case of a more general class of modules over a general linear Lie superalgebra g based on a Howe duality of type (2, gl(n)) on various Fock spaces.

• 出版日期2015-8