Matrix formulas for multiplicities in the spin module
نویسندگان
چکیده
We obtain inductive and enumerative formulas for the multiplicities of weights spin module Clifford algebra a Levi subalgebra in complex semisimple Lie algebra. Our involve only matrices tableaux, our techniques combine linear algebra, theory, combinatorics. Moreover, this suggests relationship with nilpotent orbits. The case special $\mathfrak{sl}(n,{\mathbb C})$ is emphasized.
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ژورنال
عنوان ژورنال: Communications in Mathematics
سال: 2023
ISSN: ['2336-1298', '1804-1388']
DOI: https://doi.org/10.46298/cm.11156