Projection operators for simple Lie groups. II: General scheme for constructing lowering operators. The groups \(\mathrm{SU}(n)\)

DOI10.1007/BF01028268zbMath0274.22020WikidataQ115394618 ScholiaQ115394618MaRDI QIDQ2265075

Raisa M. Asherova, Valeriy N. Tolstoy, Yuri F. Smirnov

Publication date: 1974

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Finite-dimensional groups and algebras motivated by physics and their representations (81R05)

Related Items

The geometric meaning of Zhelobenko operators ⋮ R-matrix and Mickelsson algebras for orthosymplectic quantum groups ⋮ Explicit canonical tensor operators and orthonormal coupling coefficients of SU(3) ⋮ Ghost center and representations of the diagonal reduction algebra of \(\mathfrak{osp}(1 | 2)\) ⋮ Regularization of Mickelsson generators for nonexceptional quantum groups ⋮ Rings of \(\mathbf h\)-deformed differential operators ⋮ Diagonal reduction algebra for $\mathfrak{osp}(1|2)$ ⋮ Enveloping algebra annihilators and projection techniques for finite-dimensional cyclic modules of a semisimple Lie algebra ⋮ Gelfand–Tsetlin Bases for Classical Lie Algebras ⋮ Restriction of representations of \(\mathrm{GL}(n + 1, \mathbb{C})\) to \(\mathrm{GL}(n, \mathbb{C})\) and action of the Lie overalgebra

Cites Work

• Operators that Lower or Raise the Irreducible Vector Spaces of U n−1 Contained in an Irreducible Vector Space of Un
• On the Representations of the Semisimple Lie Groups. II