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Szechtman, Fernando

Author ID: szechtman.fernando Recent zbMATH articles by "Szechtman, Fernando"
Published as: Szechtman, Fernando; Szechtman, F.
Documents Indexed: 66 Publications since 1998
Co-Authors: 23 Co-Authors with 41 Joint Publications
303 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

57 Publications have been cited 222 times in 133 Documents Cited by Year
Weil representations of symplectic groups over rings. Zbl 1037.20044
Cliff, Gerald; McNeilly, David; Szechtman, Fernando
17
2000
On Tate’s trace. Zbl 1130.15001
Argerami, Martin; Szechtman, Fernando; Tifenbach, Ryan
15
2007
The classification of uniserial \(\mathfrak{sl}(2)\ltimes V(m)\)-modules and a new interpretation of the Racah-Wigner \(6j\)-symbol. Zbl 1317.17013
Cagliero, Leandro; Szechtman, Fernando
14
2013
On the theorem of the primitive element with applications to the representation theory of associative and Lie algebras. Zbl 1333.17007
Cagliero, Leandro; Szechtman, Fernando
8
2014
An algorithm that carries a square matrix into its transpose by an involutory congruence transformation. Zbl 1055.65056
Đoković, Dragomir Ž.; Szechtman, F.; Zhao, K.
8
2003
Groups having a faithful irreducible representation. Zbl 1348.20008
Szechtman, Fernando
7
2016
On the automorphism group of the centralizer of an idempotent in the full transformation monoid. Zbl 1080.20057
Szechtman, Fernando
7
2005
Characterization of bilinear spaces with unimodular isometry group. Zbl 1084.15023
Đokovic, Dragomir Z.; Szechtman, Fernando
7
2005
Clifford and Mackey theory for Weil representations of symplectic groups. Zbl 1143.20307
Cliff, Gerald; McNeilly, David; Szechtman, Fernando
6
2003
\(n\)-inner automorphisms of finite groups. Zbl 1040.20020
Szechtman, Fernando
6
2003
Structure of the group preserving a bilinear form. Zbl 1143.20029
Szechtman, Fernando
6
2005
Equivalence and congruence of matrices under the action of standard parabolic subgroups. Zbl 1154.15016
Szechtman, Fernando
6
2007
Weil representations of the symplectic group. Zbl 0932.20047
Szechtman, Fernando
5
1998
Unitary groups over local rings. Zbl 1306.11034
Cruickshank, J.; Herman, A.; Quinlan, R.; Szechtman, F.
5
2014
The Weil representation of a unitary group associated to a ramified quadratic extension of a finite local ring. Zbl 1303.20048
Herman, Allen; Szechtman, Fernando
5
2013
Indecomposable modules of 2-step solvable Lie algebras in arbitrary characteristic. Zbl 1379.17009
Cagliero, Leandro; Szechtman, Fernando
5
2016
Quadratic Gauss sums over finite commutative rings. Zbl 1016.11056
Szechtman, Fernando
4
2002
The Weil character of the unitary group associated to a finite local ring. Zbl 1041.20031
Gow, Roderick; Szechtman, Fernando
4
2002
Infinite groups admitting a faithful irreducible representation. Zbl 1379.20003
Szechtman, Fernando; Tushev, Anatolii
4
2018
Jordan-Chevalley decomposition in finite dimensional Lie algebras. Zbl 1258.17009
Cagliero, Leandro; Szechtman, Fernando
4
2011
A closed formula for the product in simple integral extensions. Zbl 1211.15020
Guersenzvaig, Natalio H.; Szechtman, Fernando
4
2009
Subalgebras of matrix algebras generated by companion matrices. Zbl 1194.16023
Guersenzvaig, N. H.; Szechtman, Fernando
4
2010
Classification of finite dimensional uniserial representations of conformal Galilei algebras. Zbl 1361.17013
Cagliero, Leandro; Gutiérrez Frez, Luis; Szechtman, Fernando
4
2016
Character fields and Schur indices of irreducible Weil characters. Zbl 1041.20030
Cliff, G.; McNeilly, D.; Szechtman, F.
4
2004
Free 2-step nilpotent Lie algebras and indecomposable representations. Zbl 1483.17010
Cagliero, Leandro; Gutiérrez Frez, Luis; Szechtman, Fernando
3
2018
Generators and relations for the unitary group of a skew Hermitian form over a local ring. Zbl 1480.20119
Cruickshank, J.; Szechtman, F.
3
2018
A family of complex irreducible characters possessed by unitary and special unitary groups defined over local rings. Zbl 1027.20022
Szechtman, Fernando
3
2003
Weil representations of symplectic groups over non-principal rings. Zbl 1088.20023
Szechtman, Fernando
3
2005
Composition series of \(\mathfrak{gl}(m)\) as a module for its classical subalgebras over an arbitrary field. Zbl 1327.17005
Chaktoura, Martin; Szechtman, Fernando
3
2014
Classification of linked indecomposable modules of a family of solvable Lie algebras over an arbitrary field of characteristic 0. Zbl 1395.17015
Cagliero, Leandro; Szechtman, Fernando
3
2016
Steinberg lattice of the general linear group and its modular reduction. Zbl 1243.20059
Szechtman, Fernando
3
2011
Weil representations of unitary groups. Zbl 0945.20028
Szechtman, Fernando
3
1999
Congruence of symmetric matrices over local rings. Zbl 1173.15008
Cao, Yonglin; Szechtman, Fernando
3
2009
Indecomposable modules of a family of solvable Lie algebras. Zbl 1427.17011
Casati, Paolo; Previtali, Andrea; Szechtman, Fernando
3
2017
Unitary groups and ramified extensions. Zbl 1416.15008
Cruickshank, J.; Szechtman, Fernando
2
2019
Generalized Artin-Schreier polynomials. Zbl 1336.12001
Guersenzvaig, N. H.; Szechtman, Fernando
2
2015
Reductivity of the Lie algebra of a bilinear form. Zbl 1359.17017
Ahmadi, S. Ruhallah; Chaktoura, Martin; Szechtman, Fernando
2
2014
Equivalence and normal forms of bilinear forms. Zbl 1282.15012
Szechtman, Fernando
2
2014
Irreducible characters of Sylow subgroups of symplectic and unitary groups. Zbl 1114.20006
Szechtman, Fernando
2
2006
An elementary proof of Gabriel’s theorem on degenerate bilinear forms and its generalization. Zbl 1068.16022
Đoković, Dragomir Ž.; Szechtman, Fernando
2
2004
Roots multiplicity and square-free factorization of polynomials using companion matrices. Zbl 1320.12002
Guersenzvaig, N. H.; Szechtman, Fernando
2
2012
Hermitian and skew Hermitian forms over local rings. Zbl 1423.11074
Cruickshank, James; Quinlan, Rachel; Szechtman, Fernando
2
2018
Representations of McLain groups. Zbl 1406.20013
Szechtman, Fernando; Herman, Allen; Izadi, Mohammad A.
2
2017
Is every matrix similar to a polynomial in a companion matrix? Zbl 1259.15013
Guersenzvaig, N. H.; Szechtman, Fernando
2
2012
Weil representations via abstract data and Heisenberg groups: a comparison. Zbl 1456.20002
Cruickshank, J.; Gutiérrez Frez, L.; Szechtman, F.
1
2020
Solution of the congruence problem for arbitrary Hermitian and skew-Hermitian matrices over polynomial rings. Zbl 1031.15026
Đoković, Dragomir Ž.; Szechtman, Fernando
1
2003
The 2-modular reduction of the Steinberg representation of a finite Chevalley group of type \(C_n\). Zbl 1076.20032
Szechtman, Fernando
1
2005
Modular representations of Heisenberg algebras. Zbl 1292.17007
Szechtman, Fernando
1
2014
A note on orthogonal Lie algebras in dimension 4 viewed as current Lie algebras. Zbl 1362.17010
Chaktoura, Martin; Szechtman, Fernando
1
2013
Diagonal plus tridiagonal representatives for symplectic congruence classes of symmetric matrices. Zbl 1138.17003
Đokovic, D. Z.; Szechtman, F.; Zhao, K.
1
2005
Modular reduction of the Steinberg lattice of the general linear group. Zbl 1173.20034
Szechtman, Fernando
1
2008
Lie algebras and bilinear forms in characteristic 2. Zbl 1373.17014
Ahmadi, S. Ruhallah; Izadi, Mohammad A.; Szechtman, Fernando
1
2014
Nilpotency degree of the nilradical of a solvable Lie algebra on two generators and uniserial modules associated to free nilpotent Lie algebras. Zbl 1482.17022
Cagliero, Leandro; Levstein, Fernando; Szechtman, Fernando
1
2021
Weil representations of unitary groups over ramified extensions of finite local rings with odd nilpotency length. Zbl 1470.20023
Szechtman, Fernando; Shau, Momuita; Herman, Allen
1
2019
Irreducible representations of unipotent subgroups of symplectic and unitary groups defined over rings. Zbl 1388.20019
Szechtman, Fernando
1
2017
Clifford theory for infinite dimensional modules. Zbl 1380.20050
Szechtman, Fernando
1
2017
Linear Diophantine equations in several variables. Zbl 07483318
Quinlan, R.; Shau, M.; Szechtman, F.
1
2022
Linear Diophantine equations in several variables. Zbl 07483318
Quinlan, R.; Shau, M.; Szechtman, F.
1
2022
Nilpotency degree of the nilradical of a solvable Lie algebra on two generators and uniserial modules associated to free nilpotent Lie algebras. Zbl 1482.17022
Cagliero, Leandro; Levstein, Fernando; Szechtman, Fernando
1
2021
Weil representations via abstract data and Heisenberg groups: a comparison. Zbl 1456.20002
Cruickshank, J.; Gutiérrez Frez, L.; Szechtman, F.
1
2020
Unitary groups and ramified extensions. Zbl 1416.15008
Cruickshank, J.; Szechtman, Fernando
2
2019
Weil representations of unitary groups over ramified extensions of finite local rings with odd nilpotency length. Zbl 1470.20023
Szechtman, Fernando; Shau, Momuita; Herman, Allen
1
2019
Infinite groups admitting a faithful irreducible representation. Zbl 1379.20003
Szechtman, Fernando; Tushev, Anatolii
4
2018
Free 2-step nilpotent Lie algebras and indecomposable representations. Zbl 1483.17010
Cagliero, Leandro; Gutiérrez Frez, Luis; Szechtman, Fernando
3
2018
Generators and relations for the unitary group of a skew Hermitian form over a local ring. Zbl 1480.20119
Cruickshank, J.; Szechtman, F.
3
2018
Hermitian and skew Hermitian forms over local rings. Zbl 1423.11074
Cruickshank, James; Quinlan, Rachel; Szechtman, Fernando
2
2018
Indecomposable modules of a family of solvable Lie algebras. Zbl 1427.17011
Casati, Paolo; Previtali, Andrea; Szechtman, Fernando
3
2017
Representations of McLain groups. Zbl 1406.20013
Szechtman, Fernando; Herman, Allen; Izadi, Mohammad A.
2
2017
Irreducible representations of unipotent subgroups of symplectic and unitary groups defined over rings. Zbl 1388.20019
Szechtman, Fernando
1
2017
Clifford theory for infinite dimensional modules. Zbl 1380.20050
Szechtman, Fernando
1
2017
Groups having a faithful irreducible representation. Zbl 1348.20008
Szechtman, Fernando
7
2016
Indecomposable modules of 2-step solvable Lie algebras in arbitrary characteristic. Zbl 1379.17009
Cagliero, Leandro; Szechtman, Fernando
5
2016
Classification of finite dimensional uniserial representations of conformal Galilei algebras. Zbl 1361.17013
Cagliero, Leandro; Gutiérrez Frez, Luis; Szechtman, Fernando
4
2016
Classification of linked indecomposable modules of a family of solvable Lie algebras over an arbitrary field of characteristic 0. Zbl 1395.17015
Cagliero, Leandro; Szechtman, Fernando
3
2016
Generalized Artin-Schreier polynomials. Zbl 1336.12001
Guersenzvaig, N. H.; Szechtman, Fernando
2
2015
On the theorem of the primitive element with applications to the representation theory of associative and Lie algebras. Zbl 1333.17007
Cagliero, Leandro; Szechtman, Fernando
8
2014
Unitary groups over local rings. Zbl 1306.11034
Cruickshank, J.; Herman, A.; Quinlan, R.; Szechtman, F.
5
2014
Composition series of \(\mathfrak{gl}(m)\) as a module for its classical subalgebras over an arbitrary field. Zbl 1327.17005
Chaktoura, Martin; Szechtman, Fernando
3
2014
Reductivity of the Lie algebra of a bilinear form. Zbl 1359.17017
Ahmadi, S. Ruhallah; Chaktoura, Martin; Szechtman, Fernando
2
2014
Equivalence and normal forms of bilinear forms. Zbl 1282.15012
Szechtman, Fernando
2
2014
Modular representations of Heisenberg algebras. Zbl 1292.17007
Szechtman, Fernando
1
2014
Lie algebras and bilinear forms in characteristic 2. Zbl 1373.17014
Ahmadi, S. Ruhallah; Izadi, Mohammad A.; Szechtman, Fernando
1
2014
The classification of uniserial \(\mathfrak{sl}(2)\ltimes V(m)\)-modules and a new interpretation of the Racah-Wigner \(6j\)-symbol. Zbl 1317.17013
Cagliero, Leandro; Szechtman, Fernando
14
2013
The Weil representation of a unitary group associated to a ramified quadratic extension of a finite local ring. Zbl 1303.20048
Herman, Allen; Szechtman, Fernando
5
2013
A note on orthogonal Lie algebras in dimension 4 viewed as current Lie algebras. Zbl 1362.17010
Chaktoura, Martin; Szechtman, Fernando
1
2013
Roots multiplicity and square-free factorization of polynomials using companion matrices. Zbl 1320.12002
Guersenzvaig, N. H.; Szechtman, Fernando
2
2012
Is every matrix similar to a polynomial in a companion matrix? Zbl 1259.15013
Guersenzvaig, N. H.; Szechtman, Fernando
2
2012
Jordan-Chevalley decomposition in finite dimensional Lie algebras. Zbl 1258.17009
Cagliero, Leandro; Szechtman, Fernando
4
2011
Steinberg lattice of the general linear group and its modular reduction. Zbl 1243.20059
Szechtman, Fernando
3
2011
Subalgebras of matrix algebras generated by companion matrices. Zbl 1194.16023
Guersenzvaig, N. H.; Szechtman, Fernando
4
2010
A closed formula for the product in simple integral extensions. Zbl 1211.15020
Guersenzvaig, Natalio H.; Szechtman, Fernando
4
2009
Congruence of symmetric matrices over local rings. Zbl 1173.15008
Cao, Yonglin; Szechtman, Fernando
3
2009
Modular reduction of the Steinberg lattice of the general linear group. Zbl 1173.20034
Szechtman, Fernando
1
2008
On Tate’s trace. Zbl 1130.15001
Argerami, Martin; Szechtman, Fernando; Tifenbach, Ryan
15
2007
Equivalence and congruence of matrices under the action of standard parabolic subgroups. Zbl 1154.15016
Szechtman, Fernando
6
2007
Irreducible characters of Sylow subgroups of symplectic and unitary groups. Zbl 1114.20006
Szechtman, Fernando
2
2006
On the automorphism group of the centralizer of an idempotent in the full transformation monoid. Zbl 1080.20057
Szechtman, Fernando
7
2005
Characterization of bilinear spaces with unimodular isometry group. Zbl 1084.15023
Đokovic, Dragomir Z.; Szechtman, Fernando
7
2005
Structure of the group preserving a bilinear form. Zbl 1143.20029
Szechtman, Fernando
6
2005
Weil representations of symplectic groups over non-principal rings. Zbl 1088.20023
Szechtman, Fernando
3
2005
The 2-modular reduction of the Steinberg representation of a finite Chevalley group of type \(C_n\). Zbl 1076.20032
Szechtman, Fernando
1
2005
Diagonal plus tridiagonal representatives for symplectic congruence classes of symmetric matrices. Zbl 1138.17003
Đokovic, D. Z.; Szechtman, F.; Zhao, K.
1
2005
Character fields and Schur indices of irreducible Weil characters. Zbl 1041.20030
Cliff, G.; McNeilly, D.; Szechtman, F.
4
2004
An elementary proof of Gabriel’s theorem on degenerate bilinear forms and its generalization. Zbl 1068.16022
Đoković, Dragomir Ž.; Szechtman, Fernando
2
2004
An algorithm that carries a square matrix into its transpose by an involutory congruence transformation. Zbl 1055.65056
Đoković, Dragomir Ž.; Szechtman, F.; Zhao, K.
8
2003
Clifford and Mackey theory for Weil representations of symplectic groups. Zbl 1143.20307
Cliff, Gerald; McNeilly, David; Szechtman, Fernando
6
2003
\(n\)-inner automorphisms of finite groups. Zbl 1040.20020
Szechtman, Fernando
6
2003
A family of complex irreducible characters possessed by unitary and special unitary groups defined over local rings. Zbl 1027.20022
Szechtman, Fernando
3
2003
Solution of the congruence problem for arbitrary Hermitian and skew-Hermitian matrices over polynomial rings. Zbl 1031.15026
Đoković, Dragomir Ž.; Szechtman, Fernando
1
2003
Quadratic Gauss sums over finite commutative rings. Zbl 1016.11056
Szechtman, Fernando
4
2002
The Weil character of the unitary group associated to a finite local ring. Zbl 1041.20031
Gow, Roderick; Szechtman, Fernando
4
2002
Weil representations of symplectic groups over rings. Zbl 1037.20044
Cliff, Gerald; McNeilly, David; Szechtman, Fernando
17
2000
Weil representations of unitary groups. Zbl 0945.20028
Szechtman, Fernando
3
1999
Weil representations of the symplectic group. Zbl 0932.20047
Szechtman, Fernando
5
1998
all top 5

Cited by 119 Authors

41 Szechtman, Fernando
15 Pablos Romo, Fernando
8 Cagliero, Leandro
7 Konieczny, Janusz
6 Gutiérrez Frez, Luis
5 Cruickshank, James
5 Sergeichuk, Vladimir Vasil’evich
4 Đoković, Dragomir Ž.
4 Guersenzvaig, Natalio H.
4 Herman, Allen
4 Tushev, Anatoliĭ V.
4 Zhao, Kaiming
3 Can, Mahir Bilen
3 Cherniavsky, Yonah
3 Horn, Roger Alan
3 Quinlan, Rachel
2 Ahmadi, S. Ruhallah
2 Araújo, João
2 Bonciocat, Nicolae Ciprian
2 Cabezas Sánchez, Víctor
2 Casati, Paolo
2 Cliff, Gerald H.
2 Futorny, Vyacheslav M.
2 Geck, Meinolf
2 Izadi, Mohammad A.
2 Lü, Rencai
2 Mazorchuk, Volodymyr
2 McNeilly, David
2 Pantoja, José E.
2 Rai, Pradeep Kumar
2 Talboom, John
2 Twelbeck, Tim
2 Yadav, Manoj Kumar
1 Abdesselam, Abdelmalek
1 Afra, M.
1 Agore, Ana-Loredana
1 Aubert, Anne-Marie
1 Babaghasabha, Reza
1 Bagno, Eli
1 Bardestani, Mohammad
1 Bavula, Vladimir V.
1 Bevelacqua, Anthony J.
1 Billig, Yuly
1 Bingham, Aram
1 Blondel, Corinne
1 Bonciocat, Anca Iuliana
1 Bonciocat, Ciprian Mircea
1 Bugeaud, Yann
1 Caalim, Jonathan V.
1 Cacciatori, Sergio Luigi
1 Cao, Yonglin
1 Caprace, Pierre-Emmanuel
1 Catral, Minerva
1 Chaktoura, Martin
1 Cheon, Gi-Sang
1 Cipu, Mihai
1 Coakley, Edward S.
1 Compagnoni, Marco
1 Davydov, Alekseĭ Aleksandrovich
1 de la Harpe, Pierre
1 Dmytryshyn, Andrii R.
1 Dobson, Edward
1 Dopico, Froilán M.
1 Edelman, Alan Stuart
1 Fakhri, Hossein
1 Fateh, Mohammad Mehdi
1 Gajardo, Andrea Vera
1 García-Delgado, Rosendo
1 Gerasimova, Tatiana G.
1 Gómez-Rivera, Iván
1 Hernández Serrano, Daniel
1 Howe, Roger Evans
1 Jeong, Sungwoo
1 Johnson, Charles Royal
1 Kågström, Bo
1 Kaiblinger, Norbert
1 Karai, Keivan Mallahi
1 Kim, Hana
1 Kitture, Rahul Dattatraya
1 Klimenko, Lena
1 Kunyavskiĭ, Boris Èmmanuilovich
1 Lebtahi, Leila
1 Levstein, Fernando
1 Lima, Marcos Goulart
1 Lomelí, Luis Alberto
1 Lu, Tao
1 Maktouf, Khemais
1 Matsutani, Shigeki
1 Militaru, Gigel
1 Neuhauser, Markus
1 Nica, Bogdan
1 Pallikaros, Christakis A.
1 Pawlowski, Brendan Alexander
1 Pellegrini, Marco Antonio
1 Pradhan, Soham Swadhin
1 Previtali, Andrea
1 Przebinda, Tomasz
1 Ramos González, Julia
1 Renner, Lex E.
1 Ruan, ShiQuan
...and 19 more Authors
all top 5

Cited in 46 Serials

25 Linear Algebra and its Applications
19 Journal of Algebra
14 Communications in Algebra
8 Linear and Multilinear Algebra
7 Journal of Algebra and its Applications
5 Journal of Group Theory
3 Journal of Mathematical Physics
3 Journal of Lie Theory
2 Bulletin of the Australian Mathematical Society
2 Discrete Mathematics
2 Canadian Mathematical Bulletin
2 Results in Mathematics
2 Semigroup Forum
2 Indagationes Mathematicae. New Series
2 The Electronic Journal of Combinatorics
2 ELA. The Electronic Journal of Linear Algebra
2 Algebras and Representation Theory
2 Central European Journal of Mathematics
2 Asian-European Journal of Mathematics
1 Rocky Mountain Journal of Mathematics
1 Acta Arithmetica
1 Annales de l’Institut Fourier
1 Colloquium Mathematicum
1 Journal of the Mathematical Society of Japan
1 Journal of Number Theory
1 Journal of Pure and Applied Algebra
1 Mathematische Nachrichten
1 Ricerche di Matematica
1 International Journal of Algebra and Computation
1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
1 Expositiones Mathematicae
1 Journal of Mathematical Sciences (New York)
1 Transformation Groups
1 Nonlinear Dynamics
1 Communications in Contemporary Mathematics
1 Journal of High Energy Physics
1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
1 Mediterranean Journal of Mathematics
1 Foundations of Physics
1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
1 Operators and Matrices
1 Confluentes Mathematici
1 ISRN Algebra
1 Research in the Mathematical Sciences
1 European Journal of Mathematics
1 Researches in Mathematics

Citations by Year