Class information for:
Level 2: DEFORMATION QUANTIZATION//LEIBNIZ ALGEBRA//LIE ALGEBRA

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
2045 5359 17.7 37%


Bar chart of Publication_year

Last years might be incomplete

Hierarchy of classes
The table includes all classes above and classes immediately below the current class.


Cluster id Level Cluster label #P
15 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 719832
234 3       JOURNAL OF ALGEBRA//MATHEMATICS//COMMUNICATIONS IN ALGEBRA 48681
2045 2             DEFORMATION QUANTIZATION//LEIBNIZ ALGEBRA//LIE ALGEBRA 5359
9554 1                   EXTENDED AFFINE LIE ALGEBRA//WEIGHT MODULE//WHITTAKER MODULE 1145
11993 1                   LEIBNIZ ALGEBRA//NATURAL GRADATION//LIE ALGEBRA 939
12197 1                   DEFORMATION QUANTIZATION//STAR PRODUCT//LETTERS IN MATHEMATICAL PHYSICS 925
14972 1                   MODULAR LIE SUPERALGEBRA//STRUCTURABLE ALGEBRA//DERIVATION SUPERALGEBRA 738
20713 1                   ALGEBRA GEOMETRIA TOPOL//INNER IDEAL//SEMIPRIME ALGEBRA 448
21486 1                   INFINITE DIMENSIONAL LIE GROUP//FRECHET MANIFOLD//REGULAR LIE GROUP 417
24414 1                   NON CANONICAL QUANTIZATION//FIS TEOR COMPUTAC CARLOS 1//DRIENFELD SOKOLOV EQUATION 313
27268 1                   KRICHEVER NOVIKOV ALGEBRAS//POINCARE RESIDUE//ELECTRONS IN REDUCED DIMENSIONS 233
28706 1                   ORTHOSYMPLECTIC SUPERALGEBRA//WEIGHTED DENSITIES//POISSON SUPERALGEBRA 201

Terms with highest relevance score


rank Term termType Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with term
in class
1 DEFORMATION QUANTIZATION authKW 584691 3% 67% 154
2 LEIBNIZ ALGEBRA authKW 291907 2% 63% 81
3 LIE ALGEBRA authKW 277487 5% 19% 253
4 LIE SUPERALGEBRA authKW 178043 2% 36% 87
5 INFINITE DIMENSIONAL LIE GROUP authKW 159865 1% 70% 40
6 STAR PRODUCT authKW 148147 1% 43% 61
7 COMMUNICATIONS IN ALGEBRA journal 146582 9% 5% 499
8 MATHEMATICS WoSSC 145183 70% 1% 3770
9 MODULAR LIE SUPERALGEBRA authKW 136705 0% 100% 24
10 EXTENDED AFFINE LIE ALGEBRA authKW 128344 0% 87% 26

Web of Science journal categories


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with term
in class
1 Mathematics 145183 70% 1% 3770
2 Physics, Mathematical 28236 21% 0% 1106
3 Mathematics, Applied 11952 20% 0% 1051
4 Physics, Particles & Fields 440 4% 0% 211
5 Physics, Multidisciplinary 380 6% 0% 302
6 Physics, Nuclear 123 2% 0% 121
7 Logic 92 0% 0% 18
8 Multidisciplinary Sciences 11 1% 0% 28
9 Astronomy & Astrophysics 0 2% 0% 89
10 Education, Scientific Disciplines -7 0% 0% 3

Address terms


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with term
in class
1 ALGEBRA GEOMETRIA TOPOL 109872 1% 26% 73
2 UNIV MATEMAT LICAC 47505 0% 38% 22
3 WU WEN TSUN MATH 40512 1% 20% 35
4 MATH 38564 32% 0% 1716
5 HUA LOO KENG KEY MATH 38444 0% 75% 9
6 CC MATEMAT 37414 1% 18% 36
7 DPTO GEOMETRIA TOPOL 28297 0% 38% 13
8 MATH INSPEM 24109 0% 35% 12
9 GEOMETRIA TOPOL 23884 1% 7% 64
10 CIEM FAMAF 21373 0% 29% 13

Journals


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 COMMUNICATIONS IN ALGEBRA 146582 9% 5% 499
2 JOURNAL OF ALGEBRA 115338 10% 4% 514
3 JOURNAL OF LIE THEORY 96271 2% 15% 113
4 LETTERS IN MATHEMATICAL PHYSICS 62384 3% 6% 187
5 ALGEBRA COLLOQUIUM 36942 2% 7% 87
6 JOURNAL OF GEOMETRY AND PHYSICS 33015 2% 5% 122
7 JOURNAL OF MATHEMATICAL PHYSICS 25341 5% 2% 268
8 FRONTIERS OF MATHEMATICS IN CHINA 11467 1% 6% 36
9 FUNCTIONAL ANALYSIS AND ITS APPLICATIONS 10977 1% 3% 58
10 ALGEBRAS AND REPRESENTATION THEORY 10837 1% 5% 38

Author Key Words


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class		 LCSH search Wikipedia search
1 DEFORMATION QUANTIZATION 584691 3% 67% 154 Search DEFORMATION+QUANTIZATION Search DEFORMATION+QUANTIZATION
2 LEIBNIZ ALGEBRA 291907 2% 63% 81 Search LEIBNIZ+ALGEBRA Search LEIBNIZ+ALGEBRA
3 LIE ALGEBRA 277487 5% 19% 253 Search LIE+ALGEBRA Search LIE+ALGEBRA
4 LIE SUPERALGEBRA 178043 2% 36% 87 Search LIE+SUPERALGEBRA Search LIE+SUPERALGEBRA
5 INFINITE DIMENSIONAL LIE GROUP 159865 1% 70% 40 Search INFINITE+DIMENSIONAL+LIE+GROUP Search INFINITE+DIMENSIONAL+LIE+GROUP
6 STAR PRODUCT 148147 1% 43% 61 Search STAR+PRODUCT Search STAR+PRODUCT
7 MODULAR LIE SUPERALGEBRA 136705 0% 100% 24 Search MODULAR+LIE+SUPERALGEBRA Search MODULAR+LIE+SUPERALGEBRA
8 EXTENDED AFFINE LIE ALGEBRA 128344 0% 87% 26 Search EXTENDED+AFFINE+LIE+ALGEBRA Search EXTENDED+AFFINE+LIE+ALGEBRA
9 WEIGHT MODULE 126779 1% 70% 32 Search WEIGHT+MODULE Search WEIGHT+MODULE
10 IRREDUCIBLE MODULE 105689 1% 53% 35 Search IRREDUCIBLE+MODULE Search IRREDUCIBLE+MODULE

Core articles
The table includes core articles in the class. The following variables is taken into account for the relevance score of an article in a cluster c:
(1) Number of references referring to publications in the class.
(2) Share of total number of active references referring to publications in the class.
(3) Age of the article. New articles get higher score than old articles.
(4) Citation rate, normalized to year.


Rank Reference # ref.
in cl.		 Shr. of ref. in
cl.		 Citations
1 SHABANSKAYA, A , (2017) RIGHT AND LEFT SOLVABLE EXTENSIONS OF AN ASSOCIATIVE LEIBNIZ ALGEBRA.COMMUNICATIONS IN ALGEBRA. VOL. 45. ISSUE 6. P. 2633 -2661 66 96% 0
2 SHABANSKAYA, A , (2016) SOLVABLE INDECOMPOSABLE EXTENSIONS OF TWO NILPOTENT LIE ALGEBRAS.COMMUNICATIONS IN ALGEBRA. VOL. 44. ISSUE 8. P. 3626 -3667 35 95% 0
3 WALDMANN, S , (2005) STATES AND REPRESENTATIONS IN DEFORMATION QUANTIZATION.REVIEWS IN MATHEMATICAL PHYSICS. VOL. 17. ISSUE 1. P. 15 -75 52 81% 16
4 NEEB, KH , (2006) TOWARDS A LIE THEORY OF LOCALLY CONVEX GROUPS.JAPANESE JOURNAL OF MATHEMATICS. VOL. 1. ISSUE 2. P. 291 -468 52 64% 59
5 BOZA, L , FEDRIANI, EM , NUNEZ, J , TENORIO, AF , (2013) A HISTORICAL REVIEW OF THE CLASSIFICATIONS OF LIE ALGEBRAS.REVISTA DE LA UNION MATEMATICA ARGENTINA. VOL. 54. ISSUE 2. P. 75-99 51 60% 2
6 LIU, GQ , ZHAO, KM , (2016) CLASSIFICATION OF IRREDUCIBLE BOUNDED WEIGHT MODULES OVER THE DERIVATION LIE ALGEBRAS OF QUANTUM TORI.LINEAR ALGEBRA AND ITS APPLICATIONS. VOL. 495. ISSUE . P. 11 -23 27 100% 0
7 RAO, SE , ZHAO, K , (2012) INTEGRABLE REPRESENTATIONS OF TOROIDAL LIE ALGEBRAS CO-ORDINATIZED BY RATIONAL QUANTUM TORI.JOURNAL OF ALGEBRA. VOL. 361. ISSUE . P. 225-247 28 100% 0
8 BILLIG, Y , FUTORNY, V , (2016) CLASSIFICATION OF IRREDUCIBLE REPRESENTATIONS OF LIE ALGEBRA OF VECTOR FIELDS ON A TORUS.JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK. VOL. 720. ISSUE . P. 199 -216 22 100% 2
9 FA, HX , LI, JB , ZHENG, YL , (2015) LIE BIALGEBRA STRUCTURES ON THE DEFORMATIVE SCHRODINGER-VIRASORO ALGEBRAS.JOURNAL OF MATHEMATICAL PHYSICS. VOL. 56. ISSUE 11. P. - 29 81% 0
10 CHEN, L , (2012) MULTIPLICITY-ONE REPRESENTATIONS OF DIVERGENCE-FREE LIE ALGEBRAS.JOURNAL OF ALGEBRA. VOL. 352. ISSUE 1. P. 1-61 25 93% 0

Classes with closest relation at Level 2


Rank Class id link
1 2480 LIE ALGEBROIDS//JOURNAL OF GEOMETRIC MECHANICS//DIRAC STRUCTURES
2 3456 SUPERMANIFOLDS//D DIFFERENTIATION//LIE SUPERGROUP
3 552 JOURNAL OF ALGEBRA//MATHEMATICS//ALGEBRAS AND REPRESENTATION THEORY
4 2881 PRIME RING//DERIVATION//GENERALIZED DERIVATION
5 1918 HOPF ALGEBRA//COMMUNICATIONS IN ALGEBRA//JOURNAL OF ALGEBRA
6 1909 MODULAR FORMS//RAMANUJAN JOURNAL//THETA FUNCTIONS
7 2083 ASYMPTOTIC DIMENSION//COARSE GEOMETRY//ANALYTIC TORSION
8 3826 QUADRATIC STOCHASTIC OPERATOR//GREATEST TYPE DIVISOR//EVOLUTION ALGEBRA
9 1797 MATHEMATICS//DUNKL TRANSFORM//DUNKL OPERATORS
10 2047 NIELSEN NUMBER//MATHEMATICS//TEICHMULLER SPACE

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