Journal
ST PETERSBURG MATHEMATICAL JOURNAL
Volume 22, Issue 3, Pages 463-472Publisher
AMER MATHEMATICAL SOC
DOI: 10.1090/S1061-0022-2011-01152-5
Keywords
Gaudin model; Bethe algebra; Calogero Moser space
Categories
Funding
- NSF [DMS-0900984, DMS-0901616, DMS-0555327]
- Direct For Mathematical & Physical Scien
- Division Of Mathematical Sciences [900984, 0901616] Funding Source: National Science Foundation
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It is shown that the Gaudin Hamiltonians, H1 ... , H-n, generate the Bethe algebra of the n-fold tensor power of the vector representation of gl(N). Surprisingly, the formula for the generators of the Bethe algebra in terms of the Gaudin Hamiltonians does not depend on N. Moreover, this formula coincides with Wilson's formula for the stationary Baker-Akhiezer function on the adelic Grassmannian.
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