A ug 2 00 7 On dynamical smash product

نویسنده

  • A. I. Mudrov
چکیده

In the theory of dynamical Yang-Baxter equation, with any Hopf algebra H and a certain H-module and H-comodule algebra L (base algebra) one associates a monoidal category. Given an algebra A in that category, one can construct an associative algebra A⋊L, which is a generalization of the ordinary smash product when A is an ordinary H-algebra. We study this ”dynamical smash product” and its modules induced from one-dimensional representation of the subalgebra L. In particular, we construct an analog of the Galois map A ⊗AH A → A ⊗ H ∗.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

2 5 A ug 2 00 5 L - R - smash product for ( quasi ) Hopf algebras ∗

We introduce a more general version of the so-called L-R-smash product and study its relations with other kinds of crossed products (two-sided smash and crossed product and diagonal crossed product). We also give an interpretation of the L-R-smash product in terms of an L-R-twisting datum.

متن کامل

ar X iv : m at h / 04 05 17 6 v 3 [ m at h . R T ] 1 7 N ov 2 00 4 QUANTIZED SYMPLECTIC OSCILLATOR ALGEBRAS OF RANK ONE

A quantized symplectic oscillator algebra of rank 1 is a PBW deformation of the smash product of the quantum plane with Uq(sl2). We study its representation theory, and in particular, its category O.

متن کامل

ar X iv : 0 70 8 . 27 79 v 1 [ m at h - ph ] 2 1 A ug 2 00 7 A Survey on the Classical Limit of Quantum Dynamical Entropies ∗

We analyze the behavior of quantum dynamical entropies production from sequences of quantum approximants approaching their (chaotic) classical limit. The model of the quantized hyperbolic automorphisms of the 2–torus is examined in detail and a semi–classical analysis is performed on it using coherent states, fulfilling an appropriate dynamical localization property. Correspondence between quan...

متن کامل

ar X iv : 0 70 8 . 42 75 v 1 [ m at h . D S ] 3 1 A ug 2 00 7 Continuation of solutions of coupled dynamical systems 1

Recently, the synchronization of coupled dynamical systems has been widely studied. Synchronization is referred to as a process wherein two (or many) dynamical systems are adjusted to a common behavior as time goes to infinity, due to coupling or forcing. Therefore, before discussing synchronization, a basic problem on continuation of the solution must be solved: For given initial conditions, c...

متن کامل

ug 2 00 2 THE dS / CFT CORRESPONDENCE AND THE BIG SMASH by Brett McInnes

Recent observations suggest that the cosmological equation-of-state parameter w is close to−1. To say this is to imply thatw could be slightly less than−1, which leads to R.Caldwell’s “Phantom cosmologies”. These often have the property that they end in a “Big Smash”, a final singularity in which the Universe is destroyed in a finite proper time by excessive expansion. We show that, classically...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2008