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Author ID: somberg.petr Recent zbMATH articles by "Somberg, Petr"
Published as: Somberg, Petr; Somberg, P.
Homepage: https://www2.karlin.mff.cuni.cz/~somberg/
External Links: ORCID · Google Scholar · ResearchGate · dblp · IdRef
Documents Indexed: 69 Publications since 2000, including 1 Book and 8 Additional arXiv Preprints
Co-Authors: 34 Co-Authors with 54 Joint Publications
760 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

40 Publications have been cited 242 times in 176 Documents Cited by Year
Dunkl operators and a family of realizations of \(\mathfrak{osp}(1|2)\). Zbl 1276.33021
De Bie, H.; Ørsted, B.; Somberg, P.; Souček, V.
39
2012
Branching laws for Verma modules and applications in parabolic geometry. I. Zbl 1327.53044
Kobayashi, Toshiyuki; Ørsted, Bent; Somberg, Petr; Souček, Vladimír
32
2015
The Howe duality for the Dunkl version of the Dirac operator. Zbl 1404.17018
Ørsted, Bent; Somberg, Petr; Souček, Vladimír
18
2009
On a new normalization for tractor covariant derivatives. Zbl 1264.58029
Hammerl, Matthias; Somberg, Petr; Souček, Vladimír; Šilhan, Josef
14
2012
Yang-Mills detour complexes and conformal geometry. Zbl 1141.58013
Gover, A. Rod; Somberg, Petr; Souček, Vladimír
11
2008
Special tensors in the deformation theory of quadratic algebras for the classical Lie algebras. Zbl 1161.17006
Eastwood, Michael; Somberg, Petr; Souček, Vladimír
10
2007
The metaplectic Howe duality and polynomial solutions for the symplectic Dirac operator. Zbl 1279.30051
De Bie, Hendrik; Somberg, Petr; Souček, Vladimir
9
2014
Geometric realizations of affine Kac-Moody algebras. Zbl 1423.22020
Futorny, Vyacheslav; Křižka, Libor; Somberg, Petr
8
2019
The Clifford deformation of the Hermite semigroup. Zbl 1273.43007
De Bie, Hendrik; Førsted, Bent; Somberg, Petr; Souček, Vladimir
8
2013
Algebraic analysis of scalar generalized Verma modules of Heisenberg parabolic type I: \(\mathsf{A}_{n}\)-series. Zbl 1376.22015
Křižka, L.; Somberg, P.
7
2017
Holomorphic relative Hopf modules over the irreducible quantum flag manifolds. Zbl 1469.46072
Díaz García, Fredy; Krutov, Andrey; Ó Buachalla, Réamonn; Somberg, Petr; Strung, Karen R.
7
2021
A Dolbeault-Dirac spectral triple for quantum projective space. Zbl 1466.46067
Das, Biswarup; Ó Buachalla, Reamonn; Somberg, Petr
7
2020
Invariant prolongation of overdetermined PDEs in projective, conformal, and Grassmannian geometry. Zbl 1270.53024
Hammerl, M.; Somberg, P.; Souček, V.; Šilhan, J.
6
2012
Joseph ideals and harmonic analysis for \(\mathfrak{osp}(m|2n)\). Zbl 1370.17016
Coulembier, Kevin; Somberg, Petr; Souček, Vladimír
6
2014
Conformal symmetry breaking differential operators on differential forms. Zbl 1491.22004
Fischmann, Matthias; Juhl, Andreas; Somberg, Petr
6
2021
Bernstein-Sato identities and conformal symmetry breaking operators. Zbl 1428.42045
Fischmann, Matthias; Ørsted, Bent; Somberg, Petr
5
2019
Derived representation theory of Lie algebras and stable homotopy categorification of \(sl_{k}\). Zbl 1453.57013
Hu, Po; Kriz, Igor; Somberg, Petr
5
2019
On the composition structure of the twisted Verma modules for \(\mathfrak{sl} (3,\mathbb{C})\). Zbl 1363.17010
Křižka, Libor; Somberg, Petr
4
2015
Higher Dirac cohomology of modules with generalized infinitesimal character. Zbl 1348.22021
Pandžić, Pavle; Somberg, Petr
4
2016
Prolongation of symmetric Killing tensors and commuting symmetries of the Laplace operator. Zbl 1371.35034
Michel, Jean-Philippe; Somberg, Petr; Šilhan, Josef
3
2017
Basic aspects of symplectic Clifford analysis for the symplectic Dirac operator. Zbl 1367.53042
De Bie, Hendrik; Holíková, Marie; Somberg, Petr
3
2017
On conformal powers of the Dirac operator on Einstein manifolds. Zbl 1323.53052
Fischmann, Matthias; Krattenthaler, Christian; Somberg, Petr
3
2015
Reducible characteristic cycles of Harish-Chandra modules for \(U(p,q)\) and the Kashiwara-Saito singularity. Zbl 1427.22014
Barchini, Leticia; Somberg, Petr; Trapa, Peter E.
3
2019
Deformations of quadratic algebras, the Joseph ideal for classical Lie algebras, and special tensors. Zbl 1182.17002
Somberg, Petr
2
2008
Conformal Galilei algebras, symmetric polynomials and singular vectors. Zbl 1448.17027
Křižka, Libor; Somberg, Petr
2
2018
Branching problems and \({\mathfrak{sl}}(2,\mathbb{C})\)-actions. Zbl 1363.22006
Pandžić, Pavle; Somberg, Petr
2
2015
Discrete Dirac operators, critical embeddings and Ihara-Selberg functions. Zbl 1305.05131
Loebl, Martin; Somberg, Petr
2
2015
Quaternionic complexes in Clifford analysis. Zbl 1001.18008
Somberg, Petr
2
2001
Smooth structures on pseudomanifolds with isolated conical singularities. Zbl 1273.53068
Lê, Hông Vân; Somberg, Petr; Vanžura, Jiří
2
2013
Symplectic twistor operator on \(\mathbb R^{2n}\) and the Segal-Shale-Weil representation. Zbl 1306.53066
Dostálová, Marie; Somberg, Petr
2
2014
On some adjunctions in equivariant stable homotopy theory. Zbl 1394.55010
Hu, Po; Kriz, Igor; Somberg, Petr
1
2018
Hasse graphs and parabolic subalgebras of exceptional Lie algebra \(f_4\). Zbl 1102.22012
Somberg, Petr
1
2005
Homomorphisms of generalized Verma modules, BGG parabolic category \(\mathcal O^{\mathfrak p}\) and Juhl’s conjecture. Zbl 1246.22018
Somberg, Petr
1
2012
Symplectic twistor operator and its solution space on \({\mathbb {R}}^2\). Zbl 1299.53115
Dostálová, Marie; Somberg, Petr
1
2013
Projective structure, \(\widetilde{\operatorname{SL}}(3,\mathbb{R})\) and the symplectic Dirac operator. Zbl 1389.53082
Holíková, Marie; Křižka, Libor; Somberg, Petr
1
2016
Killing spinor-valued forms and the cone construction. Zbl 1413.53074
Somberg, Petr; Zima, Petr
1
2016
Poisson smooth structures on stratified symplectic spaces. Zbl 1362.53089
Somberg, Petr; Lê, Hông Vân; Vanžura, Jiři
1
2015
Dirac operator and its cohomology for the quantum group \(U_q(\mathfrak{sl}_2)\). Zbl 1360.81216
Pandžić, Pavle; Somberg, Petr
1
2017
On discrete field theory properties of the dimer and Ising models and their conformal field theory limits. Zbl 1285.82014
Kriz, Igor; Loebl, Martin; Somberg, Petr
1
2013
Positive line modules over the irreducible quantum flag manifolds. Zbl 1512.46052
Díaz García, Fredy; Krutov, Andrey O.; Ó Buachalla, Réamonn; Somberg, Petr; Strung, Karen R.
1
2022
Positive line modules over the irreducible quantum flag manifolds. Zbl 1512.46052
Díaz García, Fredy; Krutov, Andrey O.; Ó Buachalla, Réamonn; Somberg, Petr; Strung, Karen R.
1
2022
Holomorphic relative Hopf modules over the irreducible quantum flag manifolds. Zbl 1469.46072
Díaz García, Fredy; Krutov, Andrey; Ó Buachalla, Réamonn; Somberg, Petr; Strung, Karen R.
7
2021
Conformal symmetry breaking differential operators on differential forms. Zbl 1491.22004
Fischmann, Matthias; Juhl, Andreas; Somberg, Petr
6
2021
A Dolbeault-Dirac spectral triple for quantum projective space. Zbl 1466.46067
Das, Biswarup; Ó Buachalla, Reamonn; Somberg, Petr
7
2020
Geometric realizations of affine Kac-Moody algebras. Zbl 1423.22020
Futorny, Vyacheslav; Křižka, Libor; Somberg, Petr
8
2019
Bernstein-Sato identities and conformal symmetry breaking operators. Zbl 1428.42045
Fischmann, Matthias; Ørsted, Bent; Somberg, Petr
5
2019
Derived representation theory of Lie algebras and stable homotopy categorification of \(sl_{k}\). Zbl 1453.57013
Hu, Po; Kriz, Igor; Somberg, Petr
5
2019
Reducible characteristic cycles of Harish-Chandra modules for \(U(p,q)\) and the Kashiwara-Saito singularity. Zbl 1427.22014
Barchini, Leticia; Somberg, Petr; Trapa, Peter E.
3
2019
Conformal Galilei algebras, symmetric polynomials and singular vectors. Zbl 1448.17027
Křižka, Libor; Somberg, Petr
2
2018
On some adjunctions in equivariant stable homotopy theory. Zbl 1394.55010
Hu, Po; Kriz, Igor; Somberg, Petr
1
2018
Algebraic analysis of scalar generalized Verma modules of Heisenberg parabolic type I: \(\mathsf{A}_{n}\)-series. Zbl 1376.22015
Křižka, L.; Somberg, P.
7
2017
Prolongation of symmetric Killing tensors and commuting symmetries of the Laplace operator. Zbl 1371.35034
Michel, Jean-Philippe; Somberg, Petr; Šilhan, Josef
3
2017
Basic aspects of symplectic Clifford analysis for the symplectic Dirac operator. Zbl 1367.53042
De Bie, Hendrik; Holíková, Marie; Somberg, Petr
3
2017
Dirac operator and its cohomology for the quantum group \(U_q(\mathfrak{sl}_2)\). Zbl 1360.81216
Pandžić, Pavle; Somberg, Petr
1
2017
Higher Dirac cohomology of modules with generalized infinitesimal character. Zbl 1348.22021
Pandžić, Pavle; Somberg, Petr
4
2016
Projective structure, \(\widetilde{\operatorname{SL}}(3,\mathbb{R})\) and the symplectic Dirac operator. Zbl 1389.53082
Holíková, Marie; Křižka, Libor; Somberg, Petr
1
2016
Killing spinor-valued forms and the cone construction. Zbl 1413.53074
Somberg, Petr; Zima, Petr
1
2016
Branching laws for Verma modules and applications in parabolic geometry. I. Zbl 1327.53044
Kobayashi, Toshiyuki; Ørsted, Bent; Somberg, Petr; Souček, Vladimír
32
2015
On the composition structure of the twisted Verma modules for \(\mathfrak{sl} (3,\mathbb{C})\). Zbl 1363.17010
Křižka, Libor; Somberg, Petr
4
2015
On conformal powers of the Dirac operator on Einstein manifolds. Zbl 1323.53052
Fischmann, Matthias; Krattenthaler, Christian; Somberg, Petr
3
2015
Branching problems and \({\mathfrak{sl}}(2,\mathbb{C})\)-actions. Zbl 1363.22006
Pandžić, Pavle; Somberg, Petr
2
2015
Discrete Dirac operators, critical embeddings and Ihara-Selberg functions. Zbl 1305.05131
Loebl, Martin; Somberg, Petr
2
2015
Poisson smooth structures on stratified symplectic spaces. Zbl 1362.53089
Somberg, Petr; Lê, Hông Vân; Vanžura, Jiři
1
2015
The metaplectic Howe duality and polynomial solutions for the symplectic Dirac operator. Zbl 1279.30051
De Bie, Hendrik; Somberg, Petr; Souček, Vladimir
9
2014
Joseph ideals and harmonic analysis for \(\mathfrak{osp}(m|2n)\). Zbl 1370.17016
Coulembier, Kevin; Somberg, Petr; Souček, Vladimír
6
2014
Symplectic twistor operator on \(\mathbb R^{2n}\) and the Segal-Shale-Weil representation. Zbl 1306.53066
Dostálová, Marie; Somberg, Petr
2
2014
The Clifford deformation of the Hermite semigroup. Zbl 1273.43007
De Bie, Hendrik; Førsted, Bent; Somberg, Petr; Souček, Vladimir
8
2013
Smooth structures on pseudomanifolds with isolated conical singularities. Zbl 1273.53068
Lê, Hông Vân; Somberg, Petr; Vanžura, Jiří
2
2013
Symplectic twistor operator and its solution space on \({\mathbb {R}}^2\). Zbl 1299.53115
Dostálová, Marie; Somberg, Petr
1
2013
On discrete field theory properties of the dimer and Ising models and their conformal field theory limits. Zbl 1285.82014
Kriz, Igor; Loebl, Martin; Somberg, Petr
1
2013
Dunkl operators and a family of realizations of \(\mathfrak{osp}(1|2)\). Zbl 1276.33021
De Bie, H.; Ørsted, B.; Somberg, P.; Souček, V.
39
2012
On a new normalization for tractor covariant derivatives. Zbl 1264.58029
Hammerl, Matthias; Somberg, Petr; Souček, Vladimír; Šilhan, Josef
14
2012
Invariant prolongation of overdetermined PDEs in projective, conformal, and Grassmannian geometry. Zbl 1270.53024
Hammerl, M.; Somberg, P.; Souček, V.; Šilhan, J.
6
2012
Homomorphisms of generalized Verma modules, BGG parabolic category \(\mathcal O^{\mathfrak p}\) and Juhl’s conjecture. Zbl 1246.22018
Somberg, Petr
1
2012
The Howe duality for the Dunkl version of the Dirac operator. Zbl 1404.17018
Ørsted, Bent; Somberg, Petr; Souček, Vladimír
18
2009
Yang-Mills detour complexes and conformal geometry. Zbl 1141.58013
Gover, A. Rod; Somberg, Petr; Souček, Vladimír
11
2008
Deformations of quadratic algebras, the Joseph ideal for classical Lie algebras, and special tensors. Zbl 1182.17002
Somberg, Petr
2
2008
Special tensors in the deformation theory of quadratic algebras for the classical Lie algebras. Zbl 1161.17006
Eastwood, Michael; Somberg, Petr; Souček, Vladimír
10
2007
Hasse graphs and parabolic subalgebras of exceptional Lie algebra \(f_4\). Zbl 1102.22012
Somberg, Petr
1
2005
Quaternionic complexes in Clifford analysis. Zbl 1001.18008
Somberg, Petr
2
2001
all top 5

Cited by 208 Authors

20 Somberg, Petr
19 De Bie, Hendrik
11 Gover, Ashwin Rod
11 Mejjaoli, Hatem
10 Kobayashi, Toshiyuki
9 Ørsted, Bent
8 Ben Saïd, Salem
7 Křižka, Libor
7 Soucek, Vladimir
6 Futorny, Vyacheslav M.
5 Čap, Andreas
5 Eelbode, David
5 Frahm, Jan
5 Genest, Vincent X.
5 O’Buachalla, Réamonn
5 Vinet, Luc
4 Clerc, Jean-Louis
4 Coulembier, Kevin
4 Hammerl, Matthias
4 Juhl, Andreas
4 Pandžić, Pavle
4 Pevzner, Michael
4 Van der Jeugt, Joris
4 Waldron, Andrew K.
3 Díaz García, Fredy
3 Joung, Euihun
3 Kříž, Igor
3 Latini, Emanuele
3 Oste, Roy
3 Šilhan, Josef
3 Vieira, Nelson
2 Barbasch, Dan M.
2 Basile, Thomas
2 Carotenuto, Alessandro
2 Cerejeiras, Paula
2 Cherney, D.
2 Cnudde, Lander
2 Colombo, Fabrizio
2 De Schepper, Hennie
2 De Schepper, Nele
2 Deleaval, Luc
2 Fischmann, Matthias
2 Govil, Karan
2 Gregorovič, Jan
2 Günaydin, Murat
2 Howe, Paul S.
2 Kähler, Uwe
2 Kashuba, Iryna
2 Koufany, Khalid
2 Krutov, Andrey Olegovich
2 Kubo, Toshihisa
2 Langlois-Rémillard, Alexis
2 Lian, Pan
2 Lindström, Ulf
2 Lipshitz, Robert
2 Loebl, Martin
2 Matassa, Marco
2 Matveev, Vladimir S.
2 Michel, Jean-Philippe
2 Muarem, Guner
2 Nakahama, Ryosuke
2 Peterson, Lawrence J.
2 Ren, Guangbin
2 Sommen, Franciscus
2 Strung, Karen R.
2 Trapa, Peter E.
2 Trimèche, Khalifa
2 Zalabová, Lenka
2 Zeitlin, Anton M.
1 Akhmechet, Rostislav
1 Anderson, Ian M.
1 Arancibia Robert, Nicolás
1 Arici, Francesca
1 Ay, Nihat
1 Barbier, Sigiswald
1 Barchini, Leticia
1 Batard, Thomas
1 Beccaria, Matteo
1 Bekaert, Xavier
1 Bezerra, Luan
1 Bhattacharjee, Suvrajit
1 Bisbo, Asmus K.
1 Biswas, Indranil
1 Boggarapu, Pradeep
1 Bondarko, Mikhail Vladimirovich
1 Boubatra, Mohamed Amine
1 Brackx, Fred F.
1 Bujack, Roxana
1 Bureš, Jarolím
1 Ćaćić, Branimir
1 Calderbank, David M. J.
1 Calixto, Lucas
1 Cardoso, Maria Clara
1 Case, Jeffrey S.
1 Chen, Fulin
1 Chen, Ruian
1 Ching, Michael
1 Ciubotaru, Dan
1 Cunningham, Clifton L. R.
1 Damiano, Alberto
...and 108 more Authors
all top 5

Cited in 75 Serials

11 Journal of Geometry and Physics
10 Communications in Mathematical Physics
9 Journal of High Energy Physics
8 Advances in Applied Clifford Algebras
6 Journal of Mathematical Physics
6 Advances in Mathematics
5 Letters in Mathematical Physics
5 Journal of Algebra
5 Pacific Journal of Mathematics
5 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
5 Journal of Pseudo-Differential Operators and Applications
4 Transactions of the American Mathematical Society
4 International Journal of Mathematics
4 Complex Analysis and Operator Theory
3 Compositio Mathematica
3 Journal of Functional Analysis
3 Journal of Pure and Applied Algebra
3 Memoirs of the American Mathematical Society
3 Journal of Lie Theory
3 Transformation Groups
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Proceedings of the American Mathematical Society
2 Annals of Global Analysis and Geometry
2 The Journal of Geometric Analysis
2 Selecta Mathematica. New Series
2 Integral Transforms and Special Functions
2 Communications in Contemporary Mathematics
2 Journal of the Institute of Mathematics of Jussieu
1 Modern Physics Letters A
1 Analysis Mathematica
1 Classical and Quantum Gravity
1 Communications in Algebra
1 Journal of Mathematical Analysis and Applications
1 Linear and Multilinear Algebra
1 Mathematical Methods in the Applied Sciences
1 Physics Letters. A
1 Physics Letters. B
1 Rocky Mountain Journal of Mathematics
1 Reviews in Mathematical Physics
1 Fortschritte der Physik
1 Annales de l’Institut Fourier
1 Applied Mathematics and Computation
1 Geometriae Dedicata
1 Journal of Approximation Theory
1 Journal für die Reine und Angewandte Mathematik
1 Mathematische Annalen
1 Monatshefte für Mathematik
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Proceedings of the London Mathematical Society. Third Series
1 Publications of the Research Institute for Mathematical Sciences, Kyoto University
1 Revista de la Unión Matemática Argentina
1 European Journal of Combinatorics
1 Probability Theory and Related Fields
1 Constructive Approximation
1 Revista Matemática Iberoamericana
1 Differential Geometry and its Applications
1 Bulletin of the American Mathematical Society. New Series
1 Journal of Mathematical Imaging and Vision
1 Russian Mathematics
1 Potential Analysis
1 Applied Categorical Structures
1 Documenta Mathematica
1 Representation Theory
1 Journal of Inequalities and Applications
1 Journal of the European Mathematical Society (JEMS)
1 Communications of the Korean Mathematical Society
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Central European Journal of Mathematics
1 Mediterranean Journal of Mathematics
1 Oberwolfach Reports
1 Complex Variables and Elliptic Equations
1 São Paulo Journal of Mathematical Sciences
1 Science China. Mathematics
1 Analysis and Mathematical Physics
1 European Journal of Mathematics
all top 5

Cited in 43 Fields

53 Differential geometry (53-XX)
48 Nonassociative rings and algebras (17-XX)
35 Quantum theory (81-XX)
34 Topological groups, Lie groups (22-XX)
30 Global analysis, analysis on manifolds (58-XX)
28 Harmonic analysis on Euclidean spaces (42-XX)
21 Functions of a complex variable (30-XX)
18 Special functions (33-XX)
15 Operator theory (47-XX)
14 Partial differential equations (35-XX)
14 Abstract harmonic analysis (43-XX)
11 Integral transforms, operational calculus (44-XX)
10 Functional analysis (46-XX)
10 Relativity and gravitational theory (83-XX)
9 Linear and multilinear algebra; matrix theory (15-XX)
9 Associative rings and algebras (16-XX)
8 Real functions (26-XX)
7 Group theory and generalizations (20-XX)
6 Number theory (11-XX)
6 Manifolds and cell complexes (57-XX)
5 Algebraic geometry (14-XX)
5 Category theory; homological algebra (18-XX)
5 Algebraic topology (55-XX)
3 Ordinary differential equations (34-XX)
2 Combinatorics (05-XX)
2 Several complex variables and analytic spaces (32-XX)
2 Dynamical systems and ergodic theory (37-XX)
2 Geometry (51-XX)
2 Computer science (68-XX)
2 Mechanics of particles and systems (70-XX)
2 Information and communication theory, circuits (94-XX)
1 General and overarching topics; collections (00-XX)
1 Mathematical logic and foundations (03-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Commutative algebra (13-XX)
1 \(K\)-theory (19-XX)
1 Potential theory (31-XX)
1 Difference and functional equations (39-XX)
1 Approximations and expansions (41-XX)
1 Integral equations (45-XX)
1 Statistics (62-XX)
1 Optics, electromagnetic theory (78-XX)
1 Statistical mechanics, structure of matter (82-XX)

Citations by Year