REPRESENTATIONS OF TWISTED YANGIANS OF TYPES B, C, D: II
نویسندگان
چکیده
منابع مشابه
Skew representations of twisted Yangians
Analogs of the classical Sylvester theorem have been known for matrices with entries in noncommutative algebras including the quantized algebra of functions on GLN and the Yangian for glN . We prove a version of this theorem for the twisted Yangians Y(gN) associated with the orthogonal and symplectic Lie algebras gN = oN or spN . This gives rise to representations of the twisted Yangian Y(gN−M ...
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We study quantized enveloping algebras called twisted Yangians. They are analogues of the Yangian Y(gl(N)) for the classical Lie algebras of B, C, and D series. The twisted Yangians are subalgebras in Y(gl(N)) and coideals with respect to the coproduct in Y(gl(N)). We give a complete description of their finite-dimensional irreducible representations. Every such representation is highest weight...
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Analogs of the classical Sylvester theorem have been known for matrices with entries in noncommutative algebras including the quantized algebra of functions on GLN and the Yangian for glN . We prove a version of this theorem for the twisted Yangians Y(gN ) associated with the orthogonal and symplectic Lie algebras gN = oN or spN . This gives rise to representations of the twisted Yangian Y(gN−M...
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In recent work [1] we looked at what happens to Yangian (Y (g)-)invariant field theories on the half line. From the exact S-matrix point of view, we found that the classes of solutions of the reflection equation, and thereby the admissible boundary S-matrices, were in correspondence with the h for which (g,h) is a symmetric pair — that is, for which G/H is a symmetric space. Each class was then...
متن کاملRepresentations of twisted Yangians associated with skew Young diagrams
Let GM be either the orthogonal group OM , or the symplectic group SpM over the complex field; in the latter case the non-negative integer M has to be even. Classically, the irreducible finite-dimensional representations of the group GM are labeled by partitions μ = (μ1, μ2 , . . .) such that μ ′ 1+μ ′ 2 6 M in the case GM = OM , or 2μ ′ 1 6 M in the case GM = SpM . Here μ ′ = (μ ′ 1, μ ′ 2 , ....
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ژورنال
عنوان ژورنال: Transformation Groups
سال: 2019
ISSN: 1083-4362,1531-586X
DOI: 10.1007/s00031-019-09514-x