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Journal Articles

Affine reflection groups for tiling applications: Knot theory and DNA

M. Bodner, J. Patera, M. Peterson

J. Math. Phys. 53, 013516 (2012)

https://doi.org/10.1063/1.3677762

Published: January 2012

View articletitled, Affine reflection groups for tiling applications: Knot theory and DNA

Journal Articles

E‐Discretization of Tori of Exceptional Compact Simple Lie Groups

J. Hrivnák, J. Patera

AIP Conf. Proc. 1307, 89–94 (2010)

https://doi.org/10.1063/1.3527429

Published: November 2010

View articletitled, E‐Discretization of Tori of Exceptional Compact Simple Lie Groups

Journal Articles

Discretization of Tori of Exceptional Compact Simple Lie Groups

J. Hrivnák, J. Patera

AIP Conf. Proc. 1191, 110–115 (2009)

https://doi.org/10.1063/1.3275581

Published: November 2009

View articletitled, Discretization of Tori of Exceptional Compact Simple Lie Groups

Journal Articles

Quasicrystal Models in Cryptography

M. Nesterenko, J. Patera

AIP Conf. Proc. 1191, 148–159 (2009)

https://doi.org/10.1063/1.3275587

Published: November 2009

View articletitled, Quasicrystal Models in Cryptography

Journal Articles

Discretization of compact semisimple Lie groups

J. Hrivnák, J. Patera

AIP Conf. Proc. 1079, 196–202 (2008)

https://doi.org/10.1063/1.3043860

Published: November 2008

View articletitled, Discretization of compact semisimple Lie groups

Journal Articles

(Anti)symmetric multivariate trigonometric functions and corresponding Fourier transforms

A. Klimyk, J. Patera

J. Math. Phys. 48, 093504 (2007)

https://doi.org/10.1063/1.2779768

Published: September 2007

View articletitled, (Anti)symmetric multivariate trigonometric functions and corresponding Fourier transforms

Journal Articles

Discrete and continuous sine transform generalized to semisimple Lie groups of rank two

J. Patera, A. Zaratsyan

J. Math. Phys. 47, 043512 (2006)

https://doi.org/10.1063/1.2191361

Published: April 2006

View articletitled, Discrete and continuous sine transform generalized to semisimple Lie groups of rank two

Journal Articles

Discrete and continuous cosine transform generalized to Lie groups SU(3) and G(2)

J. Patera, A. Zaratsyan

J. Math. Phys. 46, 113506 (2005)

https://doi.org/10.1063/1.2109707

Published: November 2005

View articletitled, Discrete and continuous cosine transform generalized to Lie groups SU(3) and G(2)

Journal Articles

Discrete and continuous cosine transform generalized to Lie groups SU ( 2 ) × SU ( 2 ) and O(5)

J. Patera, A. Zaratsyan

J. Math. Phys. 46, 053514 (2005)

https://doi.org/10.1063/1.1897143

Published: April 2005

View articletitled, Discrete and continuous cosine transform generalized to Lie groups SU ( 2 ) × SU ( 2 ) and O(5)

Journal Articles

Properties of continuous Fourier extension of the discrete cosine transform and its multidimensional generalization

A. Atoyan, J. Patera

J. Math. Phys. 45, 2468–2491 (2004)

https://doi.org/10.1063/1.1738187

Published: June 2004

View articletitled, Properties of continuous Fourier extension of the discrete cosine transform and its multidimensional generalization

Journal Articles

SL (3, C ) generator matrix elements in a Pauli subgroup basis

H. de Guise, J. Patera, R. T. Sharp

J. Math. Phys. 41, 4860–4880 (2000)

https://doi.org/10.1063/1.533383

Published: July 2000

View articletitled, SL (3, C ) generator matrix elements in a Pauli subgroup basis

Journal Articles

A construction of transitively differential groups of degree 3

I. L. Kantor, J. Patera

J. Math. Phys. 35, 443–458 (1994)

https://doi.org/10.1063/1.530792

Published: January 1994

View articletitled, A construction of transitively differential groups of degree 3

Journal Articles

Graded contractions and kinematical groups of space–time

M. de Montigny, J. Patera, J. Tolar

J. Math. Phys. 35, 405–425 (1994)

https://doi.org/10.1063/1.530893

Published: January 1994

View articletitled, Graded contractions and kinematical groups of space–time

Journal Articles

Graded contractions of Lie algebras, representations and tensor products

J. Patera

AIP Conf. Proc. 266, 46–54 (1992)

https://doi.org/10.1063/1.42858

Published: October 1992

View articletitled, Graded contractions of Lie algebras, representations and tensor products

Journal Articles

Orbit–orbit branching rules between simple low‐rank algebras and equal‐rank subalgebras

F. Gingras, J. Patera, R. T. Sharp

J. Math. Phys. 33, 1618–1626 (1992)

https://doi.org/10.1063/1.529687

Published: May 1992

View articletitled, Orbit–orbit branching rules between simple low‐rank algebras and equal‐rank subalgebras

Includes: Supplementary data

Journal Articles

Graded contractions of sl(3,C)

M. Couture, J. Patera, R. T. Sharp, P. Winternitz

J. Math. Phys. 32, 2310–2318 (1991)

https://doi.org/10.1063/1.529154

Published: September 1991

View articletitled, Graded contractions of sl(3,C)

Journal Articles

The four sets of additive quantum numbers of SU(3)

J. Patera

J. Math. Phys. 30, 2756–2762 (1989)

https://doi.org/10.1063/1.528509

Published: December 1989

View articletitled, The four sets of additive quantum numbers of SU(3)

Journal Articles

New gradings of sl(3,C) representations

J. Patera, R. T. Sharp, J. Van Der Jeugt

J. Math. Phys. 30, 2763–2769 (1989)

https://doi.org/10.1063/1.528510

Published: December 1989

View articletitled, New gradings of sl(3,C) representations

Journal Articles

Polynomial icosahedral invariants

C. J. Cummins, J. Patera

J. Math. Phys. 29, 1736–1745 (1988)

https://doi.org/10.1063/1.527871

Published: August 1988

View articletitled, Polynomial icosahedral invariants

Journal Articles

The Demazure–Tits subgroup of a simple Lie group

L. Michel, J. Patera, R. T. Sharp

J. Math. Phys. 29, 777–796 (1988)

https://doi.org/10.1063/1.527971

Published: April 1988

View articletitled, The Demazure–Tits subgroup of a simple Lie group

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Affine reflection groups for tiling applications: Knot theory and DNA

E‐Discretization of Tori of Exceptional Compact Simple Lie Groups

Discretization of Tori of Exceptional Compact Simple Lie Groups

Quasicrystal Models in Cryptography

Discretization of compact semisimple Lie groups

(Anti)symmetric multivariate trigonometric functions and corresponding Fourier transforms

Discrete and continuous sine transform generalized to semisimple Lie groups of rank two

Discrete and continuous cosine transform generalized to Lie groups SU(3) and G(2)

Discrete and continuous cosine transform generalized to Lie groups SU ( 2 ) × SU ( 2 ) and O(5)

Properties of continuous Fourier extension of the discrete cosine transform and its multidimensional generalization

SL (3, C ) generator matrix elements in a Pauli subgroup basis

A construction of transitively differential groups of degree 3

Graded contractions and kinematical groups of space–time

Graded contractions of Lie algebras, representations and tensor products

Orbit–orbit branching rules between simple low‐rank algebras and equal‐rank subalgebras

Graded contractions of sl(3,C)

The four sets of additive quantum numbers of SU(3)

New gradings of sl(3,C) representations

Polynomial icosahedral invariants

The Demazure–Tits subgroup of a simple Lie group

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