Generalized exclusion and Hopf algebras
نویسندگان
چکیده
منابع مشابه
Generalized Exclusion and Hopf Algebras
We propose a generalized oscillator algebra at roots of unity with generalized exclusion and investigate the braided Hopf structure. We find that there are two solutions one of which is the generalized exclusion of the bosonic type and the other is the generalized exclusion of the fermionic type. We also discuss the covariance properties of these oscillators.
متن کاملGeneralized Path Algebras and Pointed Hopf Algebras
Most of pointed Hopf algebras of dimension p with large coradical are shown to be generalized path algebras. By the theory of generalized path algebras it is obtained that the representations, homological dimensions and radicals of these Hopf algebras. The relations between the radicals of path algebras and connectivity of directed graphs are given. 2000 Mathematics subject Classification: 16w3...
متن کاملGeneralized descent patterns in permutations and associated Hopf algebras
Descents in permutations or words are defined from the relative position of two consecutive letters. We investigate a statistic involving patterns of k consecutive letters, and show that it leads to Hopf algebras generalizing noncom-mutative symmetric functions and quasi-symmetric functions.
متن کاملCombinatorial Hopf Algebras and Generalized Dehn-sommerville Relations
A combinatorial Hopf algebra is a graded connected Hopf algebra over a field k equipped with a character (multiplicative linear functional) ζ : H → k. We show that the terminal object in the category of combinatorial Hopf algebras is the algebra QSym of quasi-symmetric functions; this explains the ubiquity of quasi-symmetric functions as generating functions in combinatorics. We illustrate this...
متن کاملUniversal and Generalized Cartan Calculus on Hopf Algebras
We extend the universal differential calculus on an arbitrary Hopf algebra to a “universal Cartan calculus”. This is accomplished by introducing inner derivations and Lie derivatives which act on the elements of the universal differential envelope. A new algebra is formulated by incorporating these new objects into the universal differential calculus together with consistent commutation relatio...
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: Journal of Physics A: Mathematical and General
سال: 2002
ISSN: 0305-4470
DOI: 10.1088/0305-4470/35/50/310