Branching rules for the Weyl group orbits of the Lie algebra A(n)

Details Branching rules for the Weyl group orbits of the Lie algebra A(n) Branching rules for the Weyl group orbits of the Lie algebra A(n)

2009-09-14

arxiv.org/abs/0909.2337v1

J. Phys. A: Math. Theor. 42 (2009) 485203 (15 pp.)

Physics

Mathematical Physics

14 pages, submitted to J. Phys. A : Math. Theor

Scientific paper

10.1088/1751-8113/42/48/485203

The orbits of Weyl groups W(A(n)) of simple A(n) type Lie algebras are reduced to the union of orbits of the Weyl groups of maximal reductive subalgebras of A(n). Matrices transforming points of the orbits of W(An) into points of subalgebra orbits are listed for all cases n<=8 and for the infinite series of algebra-subalgebra pairs A(n) - A(n-k-1) x A(k) x U(1), A(2n) - B(n), A(2n-1) - C(n), A(2n-1) - D(n). Numerous special cases and examples are shown.

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