Add to ORKGWe compute the additive structure of the Hermitian $K$-theory spectrum of an even-dimensional Grassmannian over a base field $k$ of characteristic zero in terms of the Hermitian $K$-theory of $X$, using certain symmetries on Young diagrams. The result is a direct sum of copies of the $K$-theory of the base field and copies of the $GW$-theory of the base field, indexed by \emph{asymmetric} and \emph{symmetric} Young diagrams, respectively
AbstractWe show that hermitian K-theory and Witt groups are representable both in the unstable and i...
We generalize the definition of hermitian K-theory from rings with involution to exact categories wi...
We prove that exterior powers of (skew-)symmetric bundles induce a $\lambda$-ring structure on the r...
In this work we prove that the hermitian K-theory is geometrically representable in the A^1 -homotop...
Let R be a regular ring such that 2 is invertible. We construct a spectral sequence converging to th...
The Atiyah-Segal completion theorem states that the completion of equivariant complex K-theory may b...
We show that the higher Grothendieck-Witt groups, a.k.a. algebraic hermitian K-groups, are represent...
We study the theory of higher Grothendieck-Witt groups, alias algebraic hermitian K-theory, of symme...
In this paper, we consider the Hermitian $K$-theory of schemes with involution, for which we constru...
Since the very beginning of K-theory, operations like the lambda or the Adams operations played a cr...
AbstractThis paper is a continuation of [4] where we computed the homology groups with coefficients ...
Abstract. The present paper is an immediate continuation of the author’s paper [22], Except in the l...
We calculate the $p$-Kazhdan--Lusztig polynomials for Hermitian symmetric pairs and prove that the c...
This Ph.D. thesis deals with E1-ring structures on the Hermitian K-theory in the motivic setting, mo...
In this dissertation we determine the reducibility of certain induced representations. We do this us...
AbstractWe show that hermitian K-theory and Witt groups are representable both in the unstable and i...
We generalize the definition of hermitian K-theory from rings with involution to exact categories wi...
We prove that exterior powers of (skew-)symmetric bundles induce a $\lambda$-ring structure on the r...
In this work we prove that the hermitian K-theory is geometrically representable in the A^1 -homotop...
Let R be a regular ring such that 2 is invertible. We construct a spectral sequence converging to th...
The Atiyah-Segal completion theorem states that the completion of equivariant complex K-theory may b...
We show that the higher Grothendieck-Witt groups, a.k.a. algebraic hermitian K-groups, are represent...
We study the theory of higher Grothendieck-Witt groups, alias algebraic hermitian K-theory, of symme...
In this paper, we consider the Hermitian $K$-theory of schemes with involution, for which we constru...
Since the very beginning of K-theory, operations like the lambda or the Adams operations played a cr...
AbstractThis paper is a continuation of [4] where we computed the homology groups with coefficients ...
Abstract. The present paper is an immediate continuation of the author’s paper [22], Except in the l...
We calculate the $p$-Kazhdan--Lusztig polynomials for Hermitian symmetric pairs and prove that the c...
This Ph.D. thesis deals with E1-ring structures on the Hermitian K-theory in the motivic setting, mo...
In this dissertation we determine the reducibility of certain induced representations. We do this us...
AbstractWe show that hermitian K-theory and Witt groups are representable both in the unstable and i...
We generalize the definition of hermitian K-theory from rings with involution to exact categories wi...
We prove that exterior powers of (skew-)symmetric bundles induce a $\lambda$-ring structure on the r...