# Search results for: R. Coquereaux

Journal of Algebra > 2014 > 398 > Complete > 258-283

Advances in Applied Clifford Algebras > 2009 > 19 > 3-4 > 673-686

Journal of Geometry and Physics > 2007 > 57 > 2 > 387-434

Journal of Geometry and Physics > 2006 > 57 > 1 > 269-292

Czechoslovak Journal of Physics > 2004 > 54 > 11 > 1199-1207

*G*′,

*G*″) of ADE Dynkin diagrams one can associate five types of sesquilinear forms on the space of Virasoro characters. These forms can be interpreted, in terms of minimal models, as twisted partition functions. Our classification rests on the possibility of twisting the “torus structures” of the two diagrams

*G*′ and

*G*″. For the torus structure of a given diagram, one can introduce a single...

Journal of Geometry and Physics > 2003 > 48 > 4 > 580-634

Journal of Geometry and Physics > 2002 > 42 > 3 > 216-258

Journal of Geometry and Physics > 2000 > 36 > 1-2 > 22-59

Czechoslovak Journal of Physics > 2000 > 50 > 1 > 29-36

*H*are particular instances of these extensions, and in these cases we are able to define a differential calculus over their associated vector bundles...

Physics Letters B > 1998 > 443 > 1-4 > 221-232

_{3}(C) of 3x3 complex matrices can be taken as a reduced quantum plane, we build a differential calculus Ω(S) on the quantum space S defined by the algebra C

^{~}(M) M

_{3}(C), where M is a space-time manifold. This calculus is covariant under the action and coaction of finite dimensional dual quantum groups. We study the star structures on these...

Letters in Mathematical Physics > 1997 > 42 > 4 > 309-328

_{3}⊕ (M

_{2|1}(Λ

^{2}))

_{0}, where Λ

^{2}is the Grassmann algebra with two generators. We show that ℋ is not only a finite-dimensional algebra but also a (noncommutative) Hopf algebra, hence a finite-dimensional quantum group. By selecting a system of explicit generators, we show how it is related with the quantum enveloping of SL

_{q}(2) when...

Letters in Mathematical Physics > 1997 > 42 > 3 > 241-259

^{n}f along with the corresponding formalism has fallen into disuse since the birth of exterior calculus. However, differentials of higher-order are useful objects that can be interpreted in terms of functions on iterated tangent bundles (or in terms of jets). We generalize this notion to the case of noncommutative differential geometry. For an arbitrary algebra...

Advances in Applied Mathematics > 1995 > 16 > 4 > 402-424

_{n}determines planar fractal sets obtained by infinite dissections of a given triangle. All triangles appearing in the dissection process have angles that are multiples of π/(n + 1). There are usually several possible infinite dissections compatible with a given n but a given one makes use of n/2 triangle...

Journal of Geometry and Physics > 1995 > 15 > 4 > 333-352

_{2}-graded Hochschild cohomology and closed currents in terms of cyclic cocycles (they are particular multilinear forms on Gr(N)). An explicit construction of the vector space of closed currents of degree p on...