Pseudo-bundles of Exterior Algebras as Diffeological Clifford Modules
نویسندگان
چکیده
منابع مشابه
Conic bundles and Clifford algebras
We discuss natural connections between three objects: quadratic forms with values in line bundles, conic bundles and quaternion orders. We use the even Clifford algebra, and the Brauer-Severi Variety, and other constructions to give natural bijections between these objects under appropriate hypothesis. We then restrict to a surface base and we express the second Chern class of the order in term...
متن کاملClifford algebras bundles to multidimensional image segmentation
We present a new theoretical framework for multidimensional image processing using Clifford algebras. The aim of the paper is to detect edges by computing the first fundamental form of a surface associated to an image. We propose to construct this metric in the Clifford bundles setting. A nD image, i.e. an image of dimension n, is considered as a section of a trivial Clifford bundle (CT (D), e ...
متن کاملHecke algebras as subalgebras of Clifford geometric algebras of multivectors
Clifford geometric algebras of multivectors are introduced which exhibit a bilinear form which is not necessarily symmetric. Looking at a subset of bi-vectors in Cl(IK, B), we proof that theses elements generate the Hecke algebra HIK(n + 1, q) if the bilinear form B is chosen appropriately. This shows, that q-quantization can be generated by Clifford multivector objects which describe usually c...
متن کاملBraided Clifford Algebras as Braided Quantum Groups
The paper deals with braided Clifford algebras, understood as Chevalley-Kähler deformations of braided exterior algebras. It is shown that Clifford algebras based on involutive braids can be naturally endowed with a braided quantum group structure. Basic group entities are constructed explicitly.
متن کاملPseudo-BCK algebras as partial algebras
It is well-known that the representation of several classes of residuated lattices involves lattice-ordered groups. An often applicable method to determine the representing group (or groups) from a residuated lattice is based on partial algebras: the monoidal operation is restricted to those pairs which fulfil a certain extremality condition, and else left undefined. The subsequent construction...
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: Advances in Applied Clifford Algebras
سال: 2017
ISSN: 0188-7009,1661-4909
DOI: 10.1007/s00006-017-0769-z