On braided groupoids
نویسندگان
چکیده
منابع مشابه
On Braided Groupoids
We study and give examples of braided groupoids, and a fortiori, non-degenerate solutions of the quiver-theoretical braid equation.
متن کاملOn Braided Tensorcategories
1 : We investigate invertible elements and gradings in braided tensor categories. This leads us to the definition of theta-, product-, subgrading and orbitcategories in order to construct new families of BTC’s from given ones. We use the representation theory of Hecke algebras in order to relate the fusionring of a BTC generated by an object X with a two component decomposition of its tensorsqu...
متن کاملDiiusions on Braided Spaces Ii Preliminaries Ii.1 Braided Spaces
The notion of q-Brownian motion introduced by Majid is extended to braided spaces corresponding to a generic R-matrix, and combined with the theory of quantum probability. This leads to a deenition of diiusions on these spaces. The corresponding heat equations (diierence-diierential equations) are solved in terms of Appell polynomials (i.e. shifted moment systems). Some examples of interest for...
متن کامل∗–Structures on Braided Spaces
∗-structures on quantum and braided spaces of the type defined via an R-matrix are studied. These include q-Minkowski and q-Euclidean spaces as additive braided groups. The duality between the ∗-braided groups of vectors and covectors is proved and some first applications to braided geometry are made.
متن کاملOn Groupoids and Hypergraphs
We present a novel construction of finite groupoids whose Cayley graphs have large girth even w.r.t. a discounted distance measure that contracts arbitrarily long sequences of edges from the same colour class (subgroupoid), and only counts transitions between colour classes (cosets). These groupoids are employed towards a generic construction method for finite hypergraphs that realise specified...
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 Algebra
سال: 2007
ISSN: 0021-8693
DOI: 10.1016/j.jalgebra.2006.06.007