Homotopy transfer and self-dual Schur modules
Journal Article
·
· Physics of Particles and Nuclei
- Laboratoire de Physique Théorique, UMR 8627, Université Paris XI, Orsay Cedex (France)
We consider the free 2-nilpotent graded Lie algebra g generated in degree one by a finite dimensional vector space V. We recall the beautiful result that the cohomology H{sup ⋅}(g,K) of g with trivial coefficients carries a GL(V)-representation having only the Schur modules V with self-dual Young diagrams {λ: λ = λ′} in its decomposition into GL(V)-irreducibles (each with multiplicity one). The homotopy transfer theorem due to Tornike Kadeishvili allows to equip the cohomology of the Lie algebra g with a structure of homotopy commutative algebra.
- OSTI ID:
- 22981730
- Journal Information:
- Physics of Particles and Nuclei, Vol. 43, Issue 5; Other Information: Copyright (c) 2012 Pleiades Publishing, Ltd.; Country of input: International Atomic Energy Agency (IAEA); ISSN 1063-7796
- Country of Publication:
- United States
- Language:
- English
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