Quantum hyperdeterminants and hyper-Pfaffians. (English) Zbl 1384.16028
Reviewer: Volodymyr Mazorchuk (Uppsala)
Found 45 Documents (Results 1–45)
Finite dimensional Hopf actions on algebraic quantizations. (English) Zbl 1355.16030
Reviewer: Loïc Foissy (Calais)
\(U_q(sl(m+1))\)-module algebra structures on the coordinate algebra of a quantum vector space. (English) Zbl 1332.81094
Reviewer: Katsuyuki Naoi (Tokyo)
Fundamentals of Hopf algebras. (English) Zbl 1341.16034
Universitext. Cham: Springer (ISBN 978-3-319-18990-1/pbk; 978-3-319-18991-8/ebook). xiv, 150 p. (2015).
Reviewer: Jörg Feldvoss (Mobile)
Quantum matrices by paths. (English) Zbl 1311.16031
Reviewer: Vyacheslav A. Artamonov (Moskva)
Two interacting coordinate Hopf algebras of affine groups of formal series on a category. (English) Zbl 1342.16029
Reviewer: Loïc Foissy (Calais)
Graded associative conformal algebras of finite type. (English) Zbl 1293.16036
Reviewer: Alberto Elduque (Zaragoza)
Equivalent forces in Newton equation from twist deformations and non-inertial coordinate frames. (English) Zbl 1279.83030
Quantum subgroups of \(\text{GL}_{\alpha ,\beta }(n)\). (English) Zbl 1242.17016
Reviewer: Sorin Dascalescu (Bucureşti)
Codeterminants and \(q\)-Schur algebras. (English) Zbl 1197.20038
Reviewer: Alan Koch (Decatur)
Coinvariants for a coadjoint action of quantum matrices. (English. Russian original) Zbl 1245.16016
Algebra Logic 48, No. 4, 239-249 (2009); translation from Algebra Logika 48, No. 4, 425-442 (2009).
Homological properties of quantized coordinate rings of semisimple groups. (English) Zbl 1120.16039
Reviewer: Vyacheslav A. Artamonov (Moskva)
Orbits for the adjoint coaction on quantum matrices. (English) Zbl 1031.16023
Reviewer: Tomasz Brzeziński (Swansea)
Dimensions of quantum determinantal rings. (English) Zbl 1012.16026
Reviewer: Kenneth R.Goodearl (Santa Barbara)
Quantum determinantal ideals. (English) Zbl 0958.16025
Reviewer: K.A.Brown (Glasgow)
On equivalence of Toeplitz operators in several complex variables. (Chinese. English summary) Zbl 0947.47024
Remarks on the twisted adjoint representation of \(R_q[G]\). (English) Zbl 0923.16021
Reviewer: K.R.Goodearl (Santa Barbara)
Minimal multi-braided bialgebras. (English) Zbl 0923.16034
Reviewer: Sorin Dascalescu (Bucureşti)
MSC:
16W30
17B37
Primitive spectrum of quantum \(2\times 2\)-matrices and associated Poisson structure. (English) Zbl 0913.16004
Reviewer: K.R.Goodearl (Santa Barbara)
An introduction to effective calculus in quantum groups. (English) Zbl 0898.17007
Caenepeel, Stefaan (ed.) et al., Rings, Hopf algebras, and Brauer groups. Proceedings of the fourth week on algebra and algebraic geometry, SAGA-4, Antwerp and Brussels, Belgium, September 12–17, 1996. New York, NY: Marcel Dekker. Lect. Notes Pure Appl. Math. 197, 55-83 (1998).
Reviewer: Sorin Dascalescu (Bucureşti)
Basic groups of Lie algebras and Hopf algebras. (English) Zbl 0907.16021
Reviewer: A.R.Magid (Norman)
On quantum general linear groups. (English) Zbl 0888.16019
Reviewer: E.J.Taft (New Brunswick)
MSC:
16W30
20G05
Cocycle deformations of coordinate rings of quantum matrices. (English) Zbl 0881.17006
Reviewer: S.Dascalescu (Halifax)
MSC:
17B37
16W30
Global IC bases for quantum linear groups. (English) Zbl 0883.17012
Reviewer: Li Fang (Nanjing)
Cellular bases of symplectic \(q\)-Schur algebras. (Zelluläre Basen von symplektischen \(q\)-Schur-Algebren.) (German) Zbl 0901.20029
Reviewer: Jörg Feldvoss (Hamburg)
Linear recurring sequences over rings and modules. (English) Zbl 0859.11001
Reviewer: A.Pethö (Debrecen)
Simple modules over the coordinate ring of quantum affine space. (English) Zbl 0838.16002
Reviewer: Li Fang (Nanjing)
Noncommutative algebraic geometry and representations of quantized algebras. (English) Zbl 0839.16002
Mathematics and its Applications (Dordrecht). 330. Dordrecht: Kluwer Academic Publishers. xii, 315 p. (1995).
Reviewer: V.A.Artamonov (Moskva)
Integrity, integral closedness and finiteness over their centers of the coordinate algebras of quantum groups at \(p^ \nu\)-th roots of unity. (English) Zbl 0838.17012
Reviewer: W.M.McGovern (Seattle)
MSC:
17B37
16W30
Generalized Cowen-Douglas operators over Hilbert \(C^*\)-modules. (English) Zbl 0833.46041
Reviewer: H.Hogbe Nlend (Bordeaux)
Hopf algebra duality, injective modules and quantum groups. (English) Zbl 0817.16021
Reviewer: E.J.Taft (New Brunswick)
The center of the \(3\)-dimensional and \(4\)-dimensional Sklyanin algebras. (English) Zbl 0809.16053
Reviewer: N.Andruskiewitsch (Córdoba)
Finite dimensional simple modules over the coordinate ring of quantum matrices. (English) Zbl 0796.16032
Reviewer: S.Q.Oh (Taejon)
Matrix-element bialgebras determined by quadratic coordinate algebras. (English) Zbl 0791.17015
Reviewer: S. Capparelli (Roma)
MSC:
17B37
16W30
The quantum coordinate ring of the special linear group. (English) Zbl 0784.17023
Reviewer: Ye Jiachen (Shanghai)
MSC:
17B37
16W30
Quantum Lorenz group and \(q\)-deformed Clifford algebra. (English) Zbl 0890.17013
Oziewicz, Zbigniew (ed.) et al., Spinors, twistors, Clifford algebras and quantum deformations. Proceedings of the 2nd Max Born symposium, Wrocław, Poland, September 24–27, 1992. Dordrecht: Kluwer Academic Publishers. Fundam. Theor. Phys. 52, 267-276 (1993).
Quantum deformation of classical groups. (English) Zbl 0806.16040
Reviewer: Ye Jiachen (Shanghai)
Representations of quantum algebras. (English) Zbl 0724.17012
Reviewer: A.N.Pressley (London)
Noncommutative differential geometry on the quantum \(\text{SU}(2)\). I: An algebraic viewpoint. (English) Zbl 0719.46042
Reviewer: V. Deundyak (Rostov-na-Donu)
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