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Author ID: burdik.cestmir Recent zbMATH articles by "Burdík, Čestmír"
Published as: Burdík, Č.; Burdík, Čestmír; Burdík, Čestmir; Burdik, Čestmir; Burdik, Č.; Burdík, Cestmír

Publications by Year

Citations contained in zbMATH Open

30 Publications have been cited 72 times in 64 Documents Cited by Year
Beta-integers as natural counting systems for quasicrystals. Zbl 0941.52019
Burdík, Č.; Frougny, Ch.; Gazeau, J. P.; Krejcar, R.
36
1998
On the mixed symmetry irreducible representations of the Poincaré group in the BRST approach. Zbl 1138.81433
Burdík, C.; Pashnev, A.; Tsulaia, M.
30
2001
The Lagrangian description of representations of the Poincaré group. Zbl 1006.22013
Burdík, Č.; Pashnev, A.; Tsulaia, M.
15
2001
Realisations of the real semisimple Lie algebras: a method of construction. Zbl 0578.17006
Burdík, Č.
7
1985
Beta-integers as a group. Zbl 1196.11144
Burdík, Čestmir; Frougny, Christiane; Gazeau, Jean-Pierre; Krejcar, Rudolph
6
2000
Nested Bethe ansatz for the RTT algebra of \(sp(4)\) type. Zbl 1419.81019
Burdík, Č.; Navrátil, O.
4
2019
Irreducible highest weight representations of quantum groups \(U_ q(gl(n,\mathbb{C}{}))\). Zbl 0764.17008
Burdík, Č.; Havlíček, M.; Vančura, A.
4
1992
The two-parameter deformation of the supergroup \(\text{GL}(1| 1)\), its differential calculus and its Lie algebra. Zbl 0777.58007
Burdík, Č.; Tomášek, R.
4
1992
Remarks on multi-dimensional conformal mechanics. Zbl 1241.70028
Burdík, Cestmír; Nersessian, Armen
3
2009
Symbolic-numeric algorithm for computing orthonormal basis of \(\operatorname{O}(5)\times\operatorname{SU}(1,1)\) group. Zbl 07635831
Deveikis, Algirdas; Gusev, Alexander A.; Gerdt, Vladimir P.; Vinitsky, Sergue I.; Góźdź, Andrzej; Pȩdrak, Aleksandra; Burdik, Čestmir; Pogosyan, George S.
3
2020
Decomposition of the enveloping algebra \(\text{so}(5)\). Zbl 1160.17006
Burdík, Čestmír; Navrátil, Ondřej
2
2009
Complete branching rules generating function for \(SO(7)\supset SU(2)^ 3\) and polynomial basis states. Zbl 0777.22006
Burdik, Č.; Cummins, C. J.; Gaskell, R. W.; Sharp, R. T.
2
1992
On the quantum symmetries associated with the two parameter free fermion model. Zbl 0762.17011
Bednář, M.; Burdík, C.; Couture, M.; Hlavaty, L.
2
1992
The \(q\)-boson realizations of the quantum group \(U_ q\)(sl\((n+1, \mathbb{C}))\). Zbl 0766.17010
Burdík, Č.; Černý, L.; Navrátil, O.
2
1993
\(q\)-analog of Gelfand-Graev basis for the noncompact quantum algebra \(U_q(u(n,1))\). Zbl 1201.17005
Asherova, Raisa M.; Burdík, Čestmír; Havlíček, Miloslav; Smirnov, Yuri F.; Tolstoy, Valeriy N.
2
2010
A two-parametric quantization of sl(2). Zbl 0725.17019
Burdík, Č.; Hlavatý, L.
2
1991
The \(q\)-boson realizations of the quantum groups \(U_q(D_n)\). Zbl 0962.81027
Burdík, Č.; Navrátil, O.
2
1999
Realization of Lie algebras and superalgebras in terms of creation and annihilation operators. I. Zbl 1112.17301
Burdík, Č.; Grozman, P.; Leites, D.; Sergeev, A.
2
2000
A method for construction of the matrix solvable models. Zbl 1084.81073
Burdik, Č.; Navrátil, O.
2
2005
Normal ordering for the deformed Heisenberg algebra involving the reflection operator. Zbl 1067.81099
Burdík, Č.; Navrátil, O.
2
2005
The adjoint representation of quantum algebra \(U_q(\mathrm{sl}(2))\). Zbl 1166.81337
Burdík, Č.; Navrátil, O.; Pošta, S.
1
2009
Hyper-Kähler geometry via dualization. Zbl 1118.81034
Burdík, Č.; Krivonos, S.; Shcherbakov, A.
1
2006
The universal \(R\)-matrix and the Yang-Baxter equation with parameters. Zbl 0763.17009
Burdík, Č.; Hellinger, P.
1
1992
Universal \(R\)-matrix for a two-parametric quantization of \(gl(2)\). Zbl 0754.17011
Burdík, Č.; Hellinger, P.
1
1992
Summing perturbation expansions by means of renormalization group considerations. Zbl 1001.81530
Chýla, J.; Burdík, Č.
1
1990
Wavelet multiresolutions for the Fibonacci chain. Zbl 1033.82504
Andrle, Miroslav; Burdík, Čestmír; Gazeau, Jean Pierre; Krejcar, Rudolf
1
2000
A new class of realisations of the Lie algebra sp(n,\({\mathbb{R}})\). Zbl 0614.17006
Burdík, Č.
1
1986
Spin chain models of free fermions. Zbl 1320.82018
Burdík, Č.; Isaev, A. P.; Krivonos, S. O.; Navrátil, O.
1
2014
A new class of realizations of the Lie algebra \(\text{so}(q,2n-q)\). Zbl 0638.17002
Burdík, Č.
1
1988
BRST-BV quantum actions for constrained totally-symmetric integer HS fields. Zbl 1489.81058
Burdík, Čestmir; Reshetnyak, Alexander A.
1
2021
BRST-BV quantum actions for constrained totally-symmetric integer HS fields. Zbl 1489.81058
Burdík, Čestmir; Reshetnyak, Alexander A.
1
2021
Symbolic-numeric algorithm for computing orthonormal basis of \(\operatorname{O}(5)\times\operatorname{SU}(1,1)\) group. Zbl 07635831
Deveikis, Algirdas; Gusev, Alexander A.; Gerdt, Vladimir P.; Vinitsky, Sergue I.; Góźdź, Andrzej; Pȩdrak, Aleksandra; Burdik, Čestmir; Pogosyan, George S.
3
2020
Nested Bethe ansatz for the RTT algebra of \(sp(4)\) type. Zbl 1419.81019
Burdík, Č.; Navrátil, O.
4
2019
Spin chain models of free fermions. Zbl 1320.82018
Burdík, Č.; Isaev, A. P.; Krivonos, S. O.; Navrátil, O.
1
2014
\(q\)-analog of Gelfand-Graev basis for the noncompact quantum algebra \(U_q(u(n,1))\). Zbl 1201.17005
Asherova, Raisa M.; Burdík, Čestmír; Havlíček, Miloslav; Smirnov, Yuri F.; Tolstoy, Valeriy N.
2
2010
Remarks on multi-dimensional conformal mechanics. Zbl 1241.70028
Burdík, Cestmír; Nersessian, Armen
3
2009
Decomposition of the enveloping algebra \(\text{so}(5)\). Zbl 1160.17006
Burdík, Čestmír; Navrátil, Ondřej
2
2009
The adjoint representation of quantum algebra \(U_q(\mathrm{sl}(2))\). Zbl 1166.81337
Burdík, Č.; Navrátil, O.; Pošta, S.
1
2009
Hyper-Kähler geometry via dualization. Zbl 1118.81034
Burdík, Č.; Krivonos, S.; Shcherbakov, A.
1
2006
A method for construction of the matrix solvable models. Zbl 1084.81073
Burdik, Č.; Navrátil, O.
2
2005
Normal ordering for the deformed Heisenberg algebra involving the reflection operator. Zbl 1067.81099
Burdík, Č.; Navrátil, O.
2
2005
On the mixed symmetry irreducible representations of the Poincaré group in the BRST approach. Zbl 1138.81433
Burdík, C.; Pashnev, A.; Tsulaia, M.
30
2001
The Lagrangian description of representations of the Poincaré group. Zbl 1006.22013
Burdík, Č.; Pashnev, A.; Tsulaia, M.
15
2001
Beta-integers as a group. Zbl 1196.11144
Burdík, Čestmir; Frougny, Christiane; Gazeau, Jean-Pierre; Krejcar, Rudolph
6
2000
Realization of Lie algebras and superalgebras in terms of creation and annihilation operators. I. Zbl 1112.17301
Burdík, Č.; Grozman, P.; Leites, D.; Sergeev, A.
2
2000
Wavelet multiresolutions for the Fibonacci chain. Zbl 1033.82504
Andrle, Miroslav; Burdík, Čestmír; Gazeau, Jean Pierre; Krejcar, Rudolf
1
2000
The \(q\)-boson realizations of the quantum groups \(U_q(D_n)\). Zbl 0962.81027
Burdík, Č.; Navrátil, O.
2
1999
Beta-integers as natural counting systems for quasicrystals. Zbl 0941.52019
Burdík, Č.; Frougny, Ch.; Gazeau, J. P.; Krejcar, R.
36
1998
The \(q\)-boson realizations of the quantum group \(U_ q\)(sl\((n+1, \mathbb{C}))\). Zbl 0766.17010
Burdík, Č.; Černý, L.; Navrátil, O.
2
1993
Irreducible highest weight representations of quantum groups \(U_ q(gl(n,\mathbb{C}{}))\). Zbl 0764.17008
Burdík, Č.; Havlíček, M.; Vančura, A.
4
1992
The two-parameter deformation of the supergroup \(\text{GL}(1| 1)\), its differential calculus and its Lie algebra. Zbl 0777.58007
Burdík, Č.; Tomášek, R.
4
1992
Complete branching rules generating function for \(SO(7)\supset SU(2)^ 3\) and polynomial basis states. Zbl 0777.22006
Burdik, Č.; Cummins, C. J.; Gaskell, R. W.; Sharp, R. T.
2
1992
On the quantum symmetries associated with the two parameter free fermion model. Zbl 0762.17011
Bednář, M.; Burdík, C.; Couture, M.; Hlavaty, L.
2
1992
The universal \(R\)-matrix and the Yang-Baxter equation with parameters. Zbl 0763.17009
Burdík, Č.; Hellinger, P.
1
1992
Universal \(R\)-matrix for a two-parametric quantization of \(gl(2)\). Zbl 0754.17011
Burdík, Č.; Hellinger, P.
1
1992
A two-parametric quantization of sl(2). Zbl 0725.17019
Burdík, Č.; Hlavatý, L.
2
1991
Summing perturbation expansions by means of renormalization group considerations. Zbl 1001.81530
Chýla, J.; Burdík, Č.
1
1990
A new class of realizations of the Lie algebra \(\text{so}(q,2n-q)\). Zbl 0638.17002
Burdík, Č.
1
1988
A new class of realisations of the Lie algebra sp(n,\({\mathbb{R}})\). Zbl 0614.17006
Burdík, Č.
1
1986
Realisations of the real semisimple Lie algebras: a method of construction. Zbl 0578.17006
Burdík, Č.
7
1985
all top 5

Cited by 91 Authors

11 Masáková, Zuzana
10 Pelantová, Edita
7 Burdík, Čestmír
6 Frougny, Christiane
6 Navrátil, Ondřej
6 Vávra, Tomáš
5 Gazeau, Jean-Pierre
4 Verger-Gaugry, Jean-Louis
3 Ambrož, Petr
3 Deveikis, Algirdas
3 Gusev, Alexander A.
3 Hare, Kevin G.
3 Schütz, Gunter M.
3 Vinitsky, Sergue I.
2 Akiyama, Shigeki
2 Balková, L’ubomíra
2 Barat, Guy
2 Belitsky, Vladimir
2 Bernat, Julien
2 Berthé, Valérie
2 Blinkov, Yuri A.
2 Dombek, Daniel
2 Góźdź, Andrzej
2 Hbaib, Mohamed
2 Hess, Peter Otto
2 Mudrov, Andrey I.
2 Pȩdrak, Aleksandra
2 Pošta, Severin
1 Aleixo, A. N. F.
1 Aliste-Prieto, José
1 Ashton, Thomas
1 Baker, Simon
1 Balantekin, A. Baha
1 Bassino, Frédérique
1 Bell, Jason P.
1 Blasiak, Pawel
1 Campoamor-Stursberg, Rutwig
1 Chuluunbaatar, Galmandakh
1 Chuluunbaatar, Ochbadrakh
1 Dajani, Karma
1 Dekking, Frederik Michel
1 Elkharrat, Avi
1 Feng, Jing
1 Galajinsky, Anton V.
1 Escudero, Juan García
1 Hakobyan, Tigran Stepanovich
1 Heller, Pavel
1 Higuera, Sebastián
1 Hong, Yanyong
1 Horzela, Andrzej
1 Karakhanyan, David
1 Kien, Nguyen Cong
1 Kirschner, Roland
1 Kraaikamp, Cor
1 Krejcar, Rudolf
1 Krivonos, Sergey
1 Ky, Nguyen Anh
1 Laabidi, Y.
1 Le Hai, Luong
1 Lechtenfeld, Olaf
1 Liardet, Pierre
1 Ma, Chao
1 Marquette, Ian
1 Mazáč, Jan
1 Nam, Le Ba
1 Nersessian, Armen P.
1 Nikitin, Anatoly Glebovich
1 Pastirčáková, Kateřina
1 Penson, Karol A.
1 Pogosyan, George S.
1 Rand, Betseygail
1 Reshetnyak, Alexander A.
1 Reyes, Armando
1 Sadun, Lorenzo A.
1 Sakarovitch, Jacques
1 Salah, Imen Ben
1 Siegel, Anne
1 Solomon, Allan I.
1 Song, Ziheng
1 Steiner, Wolfgang
1 Svobodová, Milena
1 Thuswaldner, Jörg Maximilian
1 Turek, Ondřej
1 van Loon, Ad
1 Van, Nguyen Thi Hong
1 Veneziano, Francesco
1 Wang, Shuailing
1 Wu, Zhixiang
1 Yang, Yaping
1 Yu, Zurong
1 Zaïmi, Toufik Mostepha

Citations by Year