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Codeterminants for the Symplectic Schur Algebra
Author(s) -
Cliff Gerald,
Stokke Anna
Publication year - 2005
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/s0024610705006861
Subject(s) - symplectic geometry , schur's theorem , mathematics , schur algebra , algebra over a field , pure mathematics , basis (linear algebra) , symplectic representation , symplectic manifold , geometry , orthogonal polynomials , classical orthogonal polynomials , gegenbauer polynomials
Standard codeterminants for Donkin's symplectic Schur algebraS ¯ ( n , r ) are defined. It is shown that they form a basis ofS ¯ ( n , r ) . They are then used to give a purely combinatorial proof thatS ¯ ( n , r ) is quasi‐hereditary.