A. Krutov

activity

20242026

collaborators

3 papers

math.RT2026

Group valued moment maps for even and odd simple $G$ -modules

Anton Alekseev, Andrey Krutov

Let $G$ be a complex simple Lie group, and $g$ its Lie algebra. It is well known that a finite-dimensional $G$ -module $V$ carrying a nondegenerate invariant bilinear for…

math.RT2025

Clifford algebra analogue of Cartan's theorem for symmetric pairs

Kieran Calvert, Karmen Grizelj, Andrey Krutov +1

We extend Kostant's results about $g$ -invariants in the Clifford algebra $C l (g)$ of a complex semisimple Lie algebra $g$ to the relative case of $\…

math.RT2024

Clifford algebras and Littlewood-Richardson coefficients

Kieran Calvert, Karmen Grizelj, Andrey Krutov +1

We show how to use Clifford algebra techniques to describe the de Rham cohomology ring of equal rank compact symmetric spaces $G / K$ . In particular, for $G / K = U (n) / U (k) \times U (n - k)$ …

Group valued moment maps for even and odd simple G-modules

Clifford algebra analogue of Cartan's theorem for symmetric pairs

Clifford algebras and Littlewood-Richardson coefficients

Group valued moment maps for even and odd simple $G$ -modules