Results 1 to 10 of about 39,157 (135)

On 4-dimensional Einsteinian manifolds with parallel null distribution [PDF]

ریاضی و جامعه, 2023
In this paper, we investigate the Einsteinian manifolds with parallel null distribution. For this purpose, we first obtain the equations, which are known as Einstein's equations, that lead to finding the mentioned manifolds and then, we reduce Einstein's
Mehdi Jafari
doaj   +1 more source

Representation Theory of Quantized Poincare Algebra. Tensor Operators and Their Application to One-Partical Systems [PDF]

, 1994
A representation theory of the quantized Poincar\'e ($\kappa$-Poincar\'e) algebra (QPA) is developed. We show that the representations of this algebra are closely connected with the representations of the non-deformed Poincar\'e algebra.
A. Nowicki, E. Celeghini, H. Bacry, H. Ruegg, H. Ruegg, J. Lukierski, J. Lukierski, J. Lukierski, J. Lukierski, L. C. Biedenharn, L. C. Biedenharn, P. Maslanka, S. Giller, S. Giller, V. N. Tolstoy, V. N. Tolstoy, V. Rittenberg, Yu. F. Smirnov   +17 more
core   +3 more sources

Twenty-five years of two-dimensional rational conformal field theory [PDF]

, 2009
In this article we try to give a condensed panoramic view of the development of two-dimensional rational conformal field theory in the last twenty-five years.Comment: A review for the 50th anniversary of the Journal of Mathematical Physics.
Axelrod S., Beauville A., Brylinski J. -L., Christoph Schweigert, di Francesco P., Dobrev V. K., Faltings G., Feigin B. L., Fredenhagen K., Freed D. S., Frenkel E., Frenkel I. B., Fröhlich J., Fuchs J., Gannon T., Gannon T., Goddard P., Höhn G., Ingo Runkel, Jürgen Fuchs, Kontsevich M. L., Mathieu O., Meinrenken E., Novikov S. P., Ocneanu A., Polyakov A. M., Ponzano G., Schweigert C., Segal G. B., Segal G. B., Smirnov S., Sorger Ch., Tsuchiya A., Ueno K., Vogel P., Witten E., Zamolodchikov A. B., Zamolodchikov A. B.   +37 more
core   +1 more source

Towards SO(2,10)-Invariant M-Theory: Multilagrangian Fields [PDF]

, 1999
The SO(2,10) covariant extension of M-theory superalgebra is considered, with the aim to construct a correspondingly generalized M-theory, or 11d supergravity.
Bars I., R. MANVELYAN, R. MKRTCHYAN, Witten E.   +3 more
core   +5 more sources

Generic separating sets for 3D elasticity tensors [PDF]

, 2018
We define what is a generic separating set of invariant functions (a.k.a. a weak functional basis) for tensors. We produce then two generic separating sets of polynomial invariants for 3D elasticity tensors, one made of 19 polynomials and one made of 21 ...
Auffray, Nicolas, Desmorat, Boris, Desmorat, Rodrigue, Kolev, Boris, Olive, Marc   +4 more
core   +4 more sources

Casimir invariants and characteristic identities for $gl(\infty )$ [PDF]

, 1996
A full set of (higher order) Casimir invariants for the Lie algebra $gl(\infty )$ is constructed and shown to be well defined in the category $O_{FS}$ generated by the highest weight (unitarizable) irreducible representations with only a finite number of
M. D. Gould, N. I. Stoilova, Sato M.
core   +2 more sources

Quadratic Lagrangians and Topology in Gauge Theory Gravity [PDF]

, 1999
We consider topological contributions to the action integral in a gauge theory formulation of gravity. Two topological invariants are found and are shown to arise from the scalar and pseudoscalar parts of a single integral.
A. N. Lasenby, Anthony Lasenby, Antony Lewis, C. J. L. Doran, Chris Doran, D. Hestenes, D. Hestenes, F. Sommen, H. T. Nieh, K. S. Stelle, M. A. J. Ashdown, R. Penrose, Y. N. Obukhov   +12 more
core   +2 more sources

Rationality of Hilbert series in noncommutative invariant theory [PDF]

, 2017
It is a fundamental result in commutative algebra and invariant theory that a finitely generated graded module over a commutative finitely generated graded algebra has rational Hilbert series, and consequently the Hilbert series of the algebra of ...
Domokos, M., Drensky, V.
core   +2 more sources

Invariant classification of orthogonally separable Hamiltonian systems in Euclidean space

, 2006
The problem of the invariant classification of the orthogonal coordinate webs defined in Euclidean space is solved within the framework of Felix Klein's Erlangen Program.
Benenti, Eisenhart, Joshua T. Horwood, Klein, Klein, McLenaghan, McLenaghan, McLenaghan, McLenaghan, Nijenhuis, Olevsky, Raymond G. McLenaghan, Roman G. Smirnov, Schouten, Smirnov, Takeuchi, Thompson, Tonolo   +17 more
core   +1 more source

Lie algebras in symmetric monoidal categories [PDF]

, 2013
We study algebras defined by identities in symmetric monoidal categories. Our focus is on Lie algebras. Besides usual Lie algebras, there are examples appearing in the study of knot invariants and Rozansky-Witten invariants. Our main result is a proof of
Rumynin, Dmitriy
core   +3 more sources