ICTS:30482

Video URL

Symmetric Polynomials of the Weights of a Lie Group Representation

Symmetric Polynomials of the Weights of a Lie Group Representation

(2024). Symmetric Polynomials of the Weights of a Lie Group Representation. SciVideos. https://youtube.com/live/MnG6YIWjzJc

Symmetric Polynomials of the Weights of a Lie Group Representation. SciVideos, Dec. 12, 2024, https://youtube.com/live/MnG6YIWjzJc 

          @misc{ scivideos_ICTS:30482,
            doi = {},
            url = {https://youtube.com/live/MnG6YIWjzJc},
            author = {},
            keywords = {},
            language = {en},
            title = {Symmetric Polynomials of the Weights of a Lie Group Representation},
            publisher = {},
            year = {2024},
            month = {dec},
            note = {ICTS:30482 see, \url{https://scivideos.org/index.php/icts-tifr/30482}}
          }
Steven Spallone
Talk numberICTS:30482
Source RepositoryICTS-TIFR
Collection

Abstract

Let G be a nice (connected reductive) Lie group. An irreducible representation of G, when restricted to a maximal torus, decomposes into weights with multiplicity. We outline a procedure to compute symmetric polynomials (e.g., power sums) of this multiset of weights in terms of the highest weight. This is joint work with Rohit Joshi.