Kieran Calvert

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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 $G / K = U (n) / U (k) \times U (n - k)$ …

math.RT2023

Clifford algebras, symmetric spaces and cohomology rings of Grassmannians

Kieran Calvert, Kyo Nishiyama, Pavle Pandžić

We study various kinds of Grassmannians or Lagrangian Grassmannians over $R$ , $C$ or $H$ , all of which can be expressed as $G / P$ where…

math.RT2022

The centre of the Dunkl total angular momentum algebra

Kieran Calvert, Marcelo De Martino, Roy Oste

For a finite dimensional representation $V$ of a finite reflection group $W$ , we consider the rational Cherednik algebra $H_{t, c} (V, W)$ associated with $(V, W)$ at the para…