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arxiv: math-ph/0203002 · v1 · submitted 2002-03-01 · 🧮 math-ph · math.MP

Coherent states for arbitrary Lie group

classification 🧮 math-ph math.MP
keywords coherentgroupstatesarbitrarycloselyconceptconstructedfeatures
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The concept of coherent states originally closely related to the nilpotent group of Weyl is generalized to arbitrary Lie group. For the simplest Lie groups the system of coherent states is constructed and its features are investigated.

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  1. Shading A-polynomials via huge representations of $U_q(\mathfrak{su}_N)$

    hep-th 2026-05 unverdicted novelty 6.0

    Authors propose shaded A-polynomials A_a(ℓ_b, m_c) for SU(N) via CG chords from huge representations of U_q(su_N) in the classical limit, with examples for knots 3_1, 4_1, 5_1 in su_3.