Generalized Quantum Current Algebras
نویسندگان
چکیده
منابع مشابه
Generalized quantum current algebras
Two general families of new quantum deformed current algebras are proposed and identified both as infinite Hopf family of algebras, a structure which enable one to define “tensor products” of these algebras. The standard quantum affine algebras turn out to be a very special case of both algebra families, in which case the infinite Hopf family structure degenerates into standard Hopf algebras. T...
متن کاملNew Twisted Quantum Current Algebras
We introduce a twisted quantum affine algebra associated to each simply laced finite dimensional simple Lie algebra. This new algebra is a Hopf algebra with a Drinfeld-type comultiplication. We obtain this algebra by considering its vertex representation. The vertex representation quantizes the twisted vertex operators of Lepowsky-Wilson and Frenkel-LepowskyMeurman. We also introduce a twisted ...
متن کاملIsomorphisms between quantum generalized Weyl algebras
We study isomorphisms between generalized Weyl algebras, giving a complete answer to the quantum case of this problem for R = k[h].
متن کاملGeneralized Witt Algebras and Generalized Poisson Algebras
It is well known that the Poisson Lie algebra is isomorphic to the Hamiltonian Lie algebra [1],[3],[13]. We show that the Poisson Lie algebra can be embedded properly in the special type Lie algebra [13]. We also generalize the Hamitonian Lie algebra using exponential functions, and we show that these Lie algebras are simple.
متن کاملCanonical Bases for Quantum Generalized Kac-moody Algebras
We construct canonical bases for quantum generalized Kac-Moody algebras using semisimple perverse sheaves.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Communications in Theoretical Physics
سال: 2001
ISSN: 0253-6102
DOI: 10.1088/0253-6102/35/3/301