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A GL-Equivariant Complex Inducing Character Identities for Schur Modules by VandeBogert, Keller is a scholarly article available to read on EtoBox.

What is A GL-Equivariant Complex Inducing Character Identities for Schur Modules about?

In this paper we construct a GL-equivariant complex of Schur modules over a ring of positive characteristic that can be used to deduce classical alternating sum identities for Schur polynomials. This complex globalizes to a complex of vector bundles and can also be used to give an explicit construction of an exact sequence predicted by work of Grayson involving Adams operations identities on the algebraic K-theory of a given scheme $X$. The more general complex gives an explicit construction that reproves the aforementioned Adams operations identities in full generality.

Author

VandeBogert, Keller

Published

2022

Language

EN