Abstract
In the paper we propose a proof of Reeder’s Conjecture on the graded multiplicities of small representation in the exterior algebra \({\Lambda } \mathfrak {g}\) for simple Lie algebras of type B and C.
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Acknowledgments
I am grateful to Professor Paolo Papi who suggested this problem for my PhD thesis and patiently supported me in the long and complicated process of review of this first article. Moreover I would like to thank Professor De Concini and Professor Papi for sharing with me the sketch of their computations in the case of odd orthogonal Lie algebras. Finally I am grateful to Professor Claudio Procesi for his advice on the organization of this paper and to the referee for the careful reading of the manuscript and her/his helpful comments.
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Presented by: Peter Littelmann
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The author has been partially supported by GNSAGA - INDAM group.
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Di Trani, S. On Reeder’s Conjecture for Type B and C Lie Algebras. Algebr Represent Theor 25, 25–51 (2022). https://doi.org/10.1007/s10468-020-10009-7
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DOI: https://doi.org/10.1007/s10468-020-10009-7