Irreducibility of fusion modules over twisted Yangians at generic point
نویسنده
چکیده
With any skew Young diagram one can associate a one parameter family of ”elementary” modules over the Yangian Y(glN ). Consider the twisted Yangian Y(gN ) ⊂ Y(glN ) associated with a classical matrix Lie algebra gN ⊂ glN . Regard the tensor product of elementary Yangian modules as a module over Y(gN ) by restriction. We prove its irreducibility for generic values of the parameters.
منابع مشابه
Se p 20 09 Representations of twisted q - Yangians by Lucy Gow and
The twisted q-Yangians are coideal subalgebras of the quantum affine algebra associated with glN . We prove a classification theorem for finite-dimensional irreducible representations of the twisted q-Yangians associated with the symplectic Lie algebras sp2n. The representations are parameterized by their highest weights or by their Drinfeld polynomials. In the simplest case of sp2 we give an e...
متن کاملRepresentations of twisted q - Yangians by Lucy Gow and
The twisted q-Yangians are coideal subalgebras of the quantum affine algebra associated with glN . We prove a classification theorem for finite-dimensional irreducible representations of the twisted q-Yangians associated with the symplectic Lie algebras sp2n. The representations are parameterized by their highest weights or by their Drinfeld polynomials. In the simplest case of sp2 we give an e...
متن کامل2 7 Se p 20 09 Representations of twisted q - Yangians by Lucy Gow and
The twisted q-Yangians are coideal subalgebras of the quantum affine algebra associated with glN . We prove a classification theorem for finite-dimensional irreducible representations of the twisted q-Yangians associated with the symplectic Lie algebras sp2n. The representations are parameterized by their highest weights or by their Drinfeld polynomials. In the simplest case of sp2 we give an e...
متن کاملLocal Weyl modules and cyclicity of tensor products for Yangians
We provide a sufficient condition for the cyclicity of an ordered tensor product L = Va1(ωb1) ⊗ Va2(ωb2) ⊗ . . . ⊗ Vak(ωbk) of fundamental representations of the Yangian Y (g). When g is a classical simple Lie algebra, we make the cyclicity condition concrete, which leads to an irreducibility criterion for the ordered tensor product L. In the case when g = sll+1, a sufficient and necessary cond...
متن کاملOn reflection algebras and twisted Yangians
It is known that integrable models associated to rational R matrices give rise to certain non-abelian symmetries known as Yangians. Analogously ‘boundary’ symmetries arise when general but still integrable boundary conditions are implemented, as originally argued by Delius, Mackay and Short from the field theory point of view, in the context of the principal chiral model on the half line. In th...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2006