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math.RT2025
On angular momentum algebras and their relations
Kieran Calvert, Marcelo De Martino, Roy Oste
In this paper, we study the centraliser of , denoted the total angular momentum algebra (TAMA), in the Weyl Clifford algebra. The TAMA extends the angular mome…
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 -invariants in the Clifford algebra of a complex semisimple Lie algebra 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 . In particular, for …