نتایج جستجو برای: h algebra

تعداد نتایج: 594703  

2001
HIDÉNORI FUJIWARA SALAH MEHDI

Let G be a simply connected connected real nilpotent Lie group with Lie algebra g, H a connected closed subgroup of G with Lie algebra h and β ∈ h∗ satisfying β([h, h]) = {0}. Let χβ be the unitary character of H with differential 2 √ −1πβ at the origin. Let τ ≡ IndHχβ be the unitary representation of G induced from the character χβ of H. We consider the algebra D(G,H, β) of differential operat...

2008
LARS KADISON

We prove that a depth two Hopf subalgebra K of a semisimple Hopf algebra H is normal (where the ground field k is algebraically closed of characteristic zero). This means on the one hand that a Hopf subalgebra is normal when inducing (then restricting) modules several times as opposed to one time creates no new simple constituents. This point of view was taken in the paper [13] which establishe...

1996
Brad Shelton

This work was started as an attempt to apply theory from noncommutative graded algebra to questions about the holonomy algebra of a hyperplane arrangement. We soon realized that these algebras and their deformations, which form a class of quadratic graded algebras, have not been studied much and yet are interesting to algebra, arrangement theory and combinatorics. Let X be a topological space h...

1998
P. Landsman

An adaption of Rieeel's notion of`strict deformation quantization' is applied to a particle moving on an arbitrary Riemannian manifold Q in an external gauge eld, that is, a connection on a principal H-bundle P over Q. Hence the Poisson algebra A 0 = C 0 ((T P)=H) is deformed into the C-algebra A = K(L 2 (P)) H of H-invariant compact operators on L 2 (P), which is isomorphic to K(L 2 (Q)) C (H)...

2007
K. Kuribayashi

Let X be a simply connected space and LX the space of free loops on X. We determine the mod p cohomology algebra of LX when the mod p cohomology of X is generated by one element or is an exterior algebra on two generators. We also provide lower bounds on the dimensions of the Hodge decomposition factors of the rational cohomology of LX when the rational cohomology of X is a graded complete inte...

2003
Thomas Guédénon

Let k be a perfect field, H a irreducible cocommutative Hopf k-algebra and P (H) the space of primitive elements of H, R a k-algebra on which acts locally finitely H and R#H the associated smash product. Assume that H is almost solvable with P (H) finite-dimensional n and the sequences of divided powers are all infinite. Then the Gelfand-Kirillov dimension of R#H is GK(R) + n.

2008
CRISTINA IVAN

For a unital C*-algebra A, which is equipped with a spectral triple (A,H,D) and a Toeplitz extension, T , of A by the compacts, we construct a two parameter family of spectral triples (At,K,D(α,β)) associated to T . Using Rieffel’s notation, the family of spectral triples induce a two parameter family of compact quantum metric spaces, and we study the variation of the quantum Gromov-Hausdorff d...

2002
Serge Skryabin

This paper extends classical results in the invariant theory of finite groups and finite group schemes to the actions of finite Hopf algebras on commutative rings. Suppose that H is a finite dimensional Hopf algebra and A a commutative algebra, say over a field K. Let δ : A → A ⊗H be an algebra homomorphism which makes A into a right H-comodule. In this case A is called an H-comodule algebra. T...

2003
Shouchuan Zhang

The relations between the radical of crossed product R# σ H and algebra R are obtained. Using this theory, the author shows that if H is a finite-dimensional semisimple, cosemisimle, and either commutative or cocommutative Hopf algebra, then R is H-semiprime iff R is semiprime iff R# σ H is semiprime.

Journal: :Journal of Logic and Analysis 2023

We study embeddings of tracial $\mathrm{W}^*$-algebras into a ultraproduct matrix algebras through an amalgamation free probabilistic and model-theoretic techniques. Jung implicitly Hayes explicitly defined \emph{$1$-bounded entropy} the asymptotic covering numbers Voiculescu's microstate spaces, that is, spaces tuples $(X_1^{(N)},X_2^{(N)},\dots)$ having approximately same $*$-moments as gener...

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