Skip to content

Quantum Algebra papers — page 40

q-algBrowse archive

Spectral Decomposition of Path Space in Solvable Lattice Model
We give the spectral decomposition of the path space of the Uq() vertex model with respect to the local energy functions. The result suggests the hidden Yangian module structure on the…
Tomoyuki Arakawa, Tomoki Nakanishi, Kazuyuki Oshima et al.Jul 24, 1995
Learn
Quantum Deformations of Multi-Instanton Solutions in the Twistor Space
We consider the quantum-group self-duality equation in the framework of the gauge theory on a deformed twistor space. Quantum deformation of the Atiyah-Drinfel'd-Hitchin-Manin and t'Hooft…
B. M. ZupnikJul 21, 1995
Learn
Functional Integration on Spaces of Connections
Let G be a compact connected Lie group and P M a smooth principal G-bundle. Let a `cylinder function' on the space of smooth connections on P be a continuous function of the…
John C. Baez, Stephen SawinJul 20, 1995
Learn
Quantum Principal Bundles as Hopf-Galois Extensions
It is shown that every quantum principal bundle with a compact structure group is a Hopf-Galois extension. This property naturally extends to the level of general differential structures, so that…
Mico DurdevicJul 20, 1995
Learn
Quantum Principal Bundles and Corresponding Gauge Theories
A generalization of classical gauge theory is presented, in the framework of a noncommutative-geometric formalism of quantum principal bundles over smooth manifolds. Quantum counterparts of classical…
Mico DurdevicJul 20, 1995
Learn
On Framed Quantum Principal Bundles
A noncommutative-geometric formalism of framed principal bundles is sketched, in a special case of quantum bundles (over quantum spaces) possessing classical structure groups. Quantum counterparts of…
Mico DurdevicJul 20, 1995
Learn
Geometry of Quantum Principal Bundles I
A theory of principal bundles possessing quantum structure groups and classical base manifolds is presented. Structural analysis of such quantum principal bundles is performed. A differential…
Mico DurdevicJul 20, 1995
Learn
Quantum Principal Bundles and Tannaka-Krein Duality Theory
The structure of quantum principal bundles is studied, from the viewpoint of Tannaka-Krein duality theory. It is shown that if the structure quantum group is compact, principal G-bundles over a…
Mico DurdevicJul 20, 1995
Learn
Characteristic Classes of Quantum Principal Bundles
A noncommutative-geometric generalization of classical Weil theory of characteristic classes is presented, in the conceptual framework of quantum principal bundles. A particular care is given to the…
Mico DurdevicJul 20, 1995
Learn
Braided Clifford Algebras as Braided Quantum Groups
The paper deals with braided Clifford algebras, understood as Chevalley-Kahler deformations of braided exterior algebras. It is shown that Clifford algebras based on involutive braids can be…
Mico DurdevicJul 20, 1995
Learn
A TQFT for Wormhole cobordisms over the field of rational functions
We consider a cobordism category whose morphisms are punctured connect sums of S1 × S2's (wormhole spaces) with embedded admissibly colored banded trivalent graphs. We define a TQFT on…
Patrick GilmerJul 19, 1995
Learn
A proof of polynomial identities of type sl(n)1 sl(n)1 / sl(n)2
We present a proof of polynomial identities related to finite analogues of the branching functions of the coset sl(n)1 sl(n)1 / sl(n)2.
O. Foda, M. Okado, S. O. WarnaarJul 19, 1995
Learn
The Braided Quantum 2-Sphere
In a recent paper the quantum 2-sphere S2q was described as a quantum complex manifold. Here we consider several copies of S2q and derive their braiding commutation relations. The braiding is…
Chong-Sun Chu, Pei-Ming Ho, Bruno ZuminoJul 17, 1995
Learn
Some Remarks on Producing Hopf Algebras
We report some observations concerning two well-known approaches to construction of quantum groups. Thus, starting from a bialgebra of inhomogeneous type and imposing quadratic, cubic or quartic…
A. A. VladimirovJul 17, 1995
Learn
A generalization of Selberg integral
We analyze the situation which is related to zonal spherical functions of type An and obtain a generalization of Selberg integral.
A. Kazarnovski-KrolJul 17, 1995
Learn
Noncommutative Vieta Theorem and Symmetric Functions
A version of the classical Vieta theorem for free noncommuting variables is given. It leads to a new start in a construction of noncommutative symmetric functions
Israel Gelfand, Vladimir RetakhJul 14, 1995
Learn
On a Deformation of sl(2) with Paragrassmannian Variables
We propose a new structure Urq(sl(2)) . This is realized by multiplying δ (q=eδ, δ∈ ) by θ, where θ is a real nilpotent -paragrassmannian- variable of…
B. Abdesselam, J. Beckers, A. Chakrabarti et al.Jul 13, 1995
Learn
The exponential map for representations of Up,q(gl(2))
For the quantum group GLp,q(2) and the corresponding quantum algebra Up,q(gl(2)) Fronsdal and Galindo explicitly constructed the so-called universal T-matrix. In a previous paper we…
J. Van der Jeugt, R. JagannathanJul 13, 1995
Learn
Geometry of Quantum Group Twists, Multidimensional Jackson Calculus and Regularization
We show that R-matricies of all simple quantum groups have the properties which permit to present quantum group twists as transitions to other coordinate frames on quantum spaces. This implies…
A. P. DemichevJul 12, 1995
Learn
4-Dimensional BF Theory as a Topological Quantum Field Theory
Starting from a Lie group G whose Lie algebra is equipped with an invariant nondegenerate symmetric bilinear form, we show that 4-dimensional BF theory with cosmological term gives rise to a TQFT…
John C. BaezJul 10, 1995
Learn
Quantum Deformations of Conformal Algebras Introducing Fundamental Mass Parameters
We consider new class of classical r-matrices for D=3 and D=4 conformal Lie algebras. These r-matrices do satisfy the classical Yang-Baxter equation and as two-tensors belong to the tensor product of…
Jerzy Lukierski, Pierre Minnaert, Marek MozrzymasJul 10, 1995
Learn
Quantum Double and Differential Calculi
We show that bicovariant bimodules as defined by Woronowicz are in one to one correspondence with the Drinfeld quantum double representations. We then prove that a differential calculus associated to…
F. Bonechi, R. Giachetti, R. Maciocco et al.Jul 7, 1995
Learn
Bethe Subalgebras in Twisted Yangians
We study analogues of the Yangian of the Lie algebra glN for the other classical Lie algebras soN and spN. We call them twisted Yangians. They are coideal subalgebras in the Yangian…
Maxim Nazarov, Grigori OlshanskiJul 6, 1995
Learn
On The non-commutative Riemannian geometry of GLq(n)
A recently proposed definition of a linear connection in non-commutative geometry, based on a generalized permutation, is used to construct linear connections on GLq(n). Restrictions on the…
Y. Georgelin, J. Madore, T. Masson et al.Jul 6, 1995
Learn
Link Invariants and Combinatorial Quantization of Hamiltonian Chern-Simons Theory
We define and study the properties of observables associated to any link in Σ× R (where Σ is a compact surface) using the combinatorial quantization of hamiltonian Chern-Simons theory.…
E. Buffenoir, Ph. RocheJul 4, 1995
Learn
← PreviousPage 40Next →