Determinantal identities for modular Schur symmetric functions
Degree GrantorUniversity of Canterbury
Degree NameResearch report
Modular symmetric functions are a new class of symmetric functions which depend both on a partition ⋋ and an integer modulus p > 2. For p prime, these functions have representation theoretic significance as the irreducible characters of the general linear group G L( n, K) where K is of characteristic p. In this paper we use classical algebraic techniques to prove determinantal identities that are modular analogues to the Jacobi-Trudi, dual Jacobi-Trudi, and Giambelli identities for the classical Schur functions.
Subjectsmodular symmetric functions
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