Character and dimension formulae for queer Lie superalgebra

Abstract

Closed formulae are constructed for the characters and dimensions of the finite dimensional simple modules of the queer Lie superalgebra q(n). This is achieved by refining Brundan's algorithm for computing simple q(n)-characters.

LaTeX, 16 pages

References in corpus (5)

• Cohomology of generalized supergrassmannians and character formulae for basic classical Lie superalgebras
• Super duality and irreducible characters of ortho-symplectic Lie superalgebras
• Irreducible Characters of General Linear Superalgebra and Super Duality
• Generalised Verma modules for the orthosymplectic Lie superalgebra osp(k|2)
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Cited by in corpus (4)

• Finite-dimensional half-integer weight modules over queer Lie superalgebras
• Supercharacters of queer Lie superalgebras
• Candidate for the crystal $B(-\infty )$ for the queer Lie superalgebra
• Two Boundary Centralizer Algebras for $\mathfrak{q}(n)$