Asymptotic dimension of invariant subspace in tensor product representation of compact Lie group

DOI10.2969/jmsj/06130921zbMath1179.22016OpenAlexW2071082814WikidataQ115225216 ScholiaQ115225216MaRDI QIDQ841231

Tatsuru Takakura, Taro Suzuki

Publication date: 15 September 2009

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: http://www.jstage.jst.go.jp/article/jmath/61/3/61_921/_article

zbMATH Keywords

multiplicityrepresentationcoadjoint orbitroot systemtensor productsymplectic quotient

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Semisimple Lie groups and their representations (22E46) Momentum maps; symplectic reduction (53D20)

Related Items

Volume formula for \(N\)-fold reduced products ⋮ Symplectic volumes of certain symplectic quotients associated with the special unitary group of degree three

Cites Work

• Symplectic volumes of certain symplectic quotients associated with the special unitary group of degree three
• Geometric quantization and multiplicities of group representations
• On quantum gauge theories in two dimensions
• Symplectic surgery and the Spin\(^c\)-Dirac operator
• Extended moduli spaces of flat connections on Riemann surfaces
• Heat kernel and moduli spaces. II
• Symplectic volume of the moduli space of spatial polygons
• Localization for nonabelian group actions
• On the symplectic volume of the moduli space of spherical and Euclidean polygons
• INTERSECTION THEORY ON SYMPLECTIC QUOTIENTS OF PRODUCTS OF SPHERES
• Moduli spaces of flat connections on 2-manifolds, cobordism, and Witten's volume formulas
• Cohomology Pairings on the Symplectic Reduction of Products
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