Bicovariant differential geometry of the quantum group SL h (2)
نویسندگان
چکیده
منابع مشابه
v 2 1 0 O ct 1 99 4 Bicovariant Differential Geometry of the Quantum Group SL h ( 2 )
There are only two quantum group structures on the space of two by two uni-modular matrices, these are the SL q (2) and the SL h (2) [9-13] quantum groups. One can not construct a differential geometry on SL q (2) , which at the same time is bicovariant , has three generators , and satisfies the Liebnitz rule. We show that such a differential geometry exists for the quantum group SL h (2) and d...
متن کاملString Quantum Symmetries and the Sl(2,z Z) Group
We prove, using arguments relying only on the ”special Kähler” structure of the moduli space of the Calabi-Yau three-fold, that in the case of one single modulus the quantum modular group of the string effective action corresponding to Calabi-Yau vacua can not be SL(2,ZZ). 1 A lot of effort has been recently devoted in order to understand the local and global properties of the moduli space of t...
متن کاملCLASSIFICATION OF BICOVARIANT DIFFERENTIAL CALCULI ON THE JORDANIAN QUANTUM GROUPS GLh,g(2) AND SLh(2) AND QUANTUM LIE ALGEBRAS
We classify all 4-dimensional first order bicovariant calculi on the Jordanian quantum group GLh,g(2) and all 3-dimensional first order bicovariant calculi on the Jordanian quantum group SLh(2). In both cases we assume that the bicovariant bimodules are generated as left modules by the differentials of the quantum group generators. It is found that there are 3 1-parameter families of 4-dimensio...
متن کاملClassification of Bicovariant Differential Calculi
We show that the bicovariant first order differential calculi on a factorisable semisimple quantum group are in 1-1 correspondence with irreducible representations V of the quantum group enveloping algebra. The corresponding calculus is constructed and has dimension dimV 2. The differential calculi on a finite group algebra CG are also classified and shown to be in correspondence with pairs con...
متن کامل2 8 Ju n 20 00 Classification of Left - Covariant Differential Calculi on the Quantum Group SL q ( 2 ) ∗
For transcendental values of q the quantum tangent spaces of all left-covariant first order differential calculi of dimension less than four on the quantum group SLq(2) are given. All such differential calculi Γ are determined and investigated for which the left-invariant differential one-forms ω(u2), ω(u 2 1) and ω(u 1 1 − u 2 2) generate Γ as a bimodule and the universal higher order differen...
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: Letters in Mathematical Physics
سال: 1995
ISSN: 0377-9017,1573-0530
DOI: 10.1007/bf00750837