Class information for:
Level 1: EXTENDED AFFINE LIE ALGEBRA//WEIGHT MODULE//WHITTAKER MODULE

Basic class information

Class id #P Avg. number of
references
Database coverage
of references
9554 1145 16.4 49%



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

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 EXTENDED AFFINE LIE ALGEBRA authKW 600886 2% 87% 26
2 WEIGHT MODULE authKW 593608 3% 70% 32
3 WHITTAKER MODULE authKW 437573 2% 86% 19
4 LIE BIALGEBRAS authKW 406549 3% 42% 36
5 IRREDUCIBLE MODULE authKW 363606 3% 45% 30
6 TOROIDAL LIE ALGEBRAS authKW 274284 1% 86% 12
7 QUANTUM TORUS authKW 243797 1% 57% 16
8 VIRASORO ALGEBRA authKW 228821 3% 24% 36
9 HARISH CHANDRA MODULE authKW 222210 1% 56% 15
10 LIE ALGEBRAS OF BLOCK TYPE authKW 213335 1% 100% 8

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 47399 87% 0% 991
2 Mathematics, Applied 3054 21% 0% 244
3 Physics, Mathematical 1418 10% 0% 119
4 Logic 54 1% 0% 6
5 Multidisciplinary Sciences 1 0% 0% 5
6 Physics, Particles & Fields 1 1% 0% 15
7 Physics, Nuclear 0 1% 0% 10
8 Physics, Multidisciplinary -0 2% 0% 19
9 Automation & Control Systems -3 0% 0% 1
10 Operations Research & Management Science -4 0% 0% 1

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 HUA LOO KENG KEY MATH 179997 1% 75% 9
2 WU WEN TSUN MATH 168785 3% 19% 33
3 AGE MATH COMP SCI 53334 0% 100% 2
4 RAILROAD 47998 0% 60% 3
5 AKAD KOPTYUG PROSP 4 26667 0% 100% 1
6 ASSOCIE CNRS UMR 5208 26667 0% 100% 1
7 GEN STUDIES EDUC 26667 0% 100% 1
8 GIRARD DESARQUES 26667 0% 100% 1
9 GUIDO CASTELNUOVO 26667 0% 100% 1
10 KOMABA JR HIGH 26667 0% 100% 1

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 ALGEBRA COLLOQUIUM 74453 5% 5% 57
2 JOURNAL OF ALGEBRA 72484 16% 1% 188
3 COMMUNICATIONS IN ALGEBRA 67195 14% 2% 156
4 JOURNAL OF LIE THEORY 29688 3% 4% 29
5 FRONTIERS OF MATHEMATICS IN CHINA 28117 2% 4% 26
6 JOURNAL OF PURE AND APPLIED ALGEBRA 9208 4% 1% 45
7 PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES 7652 2% 2% 19
8 ALGEBRAS AND REPRESENTATION THEORY 5069 1% 2% 12
9 JOURNAL OF ALGEBRA AND ITS APPLICATIONS 4461 1% 1% 15
10 JOURNAL OF MATHEMATICAL PHYSICS 4456 5% 0% 52

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 EXTENDED AFFINE LIE ALGEBRA 600886 2% 87% 26 Search EXTENDED+AFFINE+LIE+ALGEBRA Search EXTENDED+AFFINE+LIE+ALGEBRA
2 WEIGHT MODULE 593608 3% 70% 32 Search WEIGHT+MODULE Search WEIGHT+MODULE
3 WHITTAKER MODULE 437573 2% 86% 19 Search WHITTAKER+MODULE Search WHITTAKER+MODULE
4 LIE BIALGEBRAS 406549 3% 42% 36 Search LIE+BIALGEBRAS Search LIE+BIALGEBRAS
5 IRREDUCIBLE MODULE 363606 3% 45% 30 Search IRREDUCIBLE+MODULE Search IRREDUCIBLE+MODULE
6 TOROIDAL LIE ALGEBRAS 274284 1% 86% 12 Search TOROIDAL+LIE+ALGEBRAS Search TOROIDAL+LIE+ALGEBRAS
7 QUANTUM TORUS 243797 1% 57% 16 Search QUANTUM+TORUS Search QUANTUM+TORUS
8 VIRASORO ALGEBRA 228821 3% 24% 36 Search VIRASORO+ALGEBRA Search VIRASORO+ALGEBRA
9 HARISH CHANDRA MODULE 222210 1% 56% 15 Search HARISH+CHANDRA+MODULE Search HARISH+CHANDRA+MODULE
10 LIE ALGEBRAS OF BLOCK TYPE 213335 1% 100% 8 Search LIE+ALGEBRAS+OF+BLOCK+TYPE Search LIE+ALGEBRAS+OF+BLOCK+TYPE

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 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
2 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 26 96% 0
3 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
4 CHEN, L , (2012) MULTIPLICITY-ONE REPRESENTATIONS OF DIVERGENCE-FREE LIE ALGEBRAS.JOURNAL OF ALGEBRA. VOL. 352. ISSUE 1. P. 1-61 25 93% 0
5 RAO, SE , SHARMA, SS , (2016) INTEGRABLE MODULES FOR LIE TORI.JOURNAL OF PURE AND APPLIED ALGEBRA. VOL. 220. ISSUE 3. P. 1074 -1095 21 100% 0
6 LIU, GQ , ZHAO, KM , (2015) NEW IRREDUCIBLE WEIGHT MODULES OVER WITT ALGEBRAS WITH INFINITE-DIMENSIONAL WEIGHT SPACES.BULLETIN OF THE LONDON MATHEMATICAL SOCIETY. VOL. 47. ISSUE . P. 789 -795 21 100% 1
7 CHEN, L , (2011) TWISTED HAMILTONIAN LIE ALGEBRAS AND THEIR MULTIPLICITY-FREE REPRESENTATIONS.ACTA MATHEMATICA SINICA-ENGLISH SERIES. VOL. 27. ISSUE 1. P. 45-72 25 93% 0
8 XU, Y , LI, JB , (2013) LIE BIALGEBRA STRUCTURES ON THE EXTENDED AFFINE LIE ALGEBRA (SL(2)(C-Q))OVER-TILDE.JOURNAL OF PURE AND APPLIED ALGEBRA. VOL. 217. ISSUE 2. P. 364-376 22 100% 0
9 LIU, XW , GUO, XQ , (2014) WEIGHT MODULES OVER A CLASS OF GRADED LIE ALGEBRAS.ALGEBRAS AND REPRESENTATION THEORY. VOL. 17. ISSUE 4. P. 1235 -1248 21 100% 0
10 LIU, GQ , GUO, XQ , (2014) HARISH-CHANDRA MODULES OVER GENERALIZED HEISENBERG-VIRASORO ALGEBRAS.ISRAEL JOURNAL OF MATHEMATICS. VOL. 204. ISSUE 1. P. 447 -468 21 100% 0

Classes with closest relation at Level 1



Rank Class id link
1 14972 MODULAR LIE SUPERALGEBRA//STRUCTURABLE ALGEBRA//DERIVATION SUPERALGEBRA
2 27268 KRICHEVER NOVIKOV ALGEBRAS//POINCARE RESIDUE//ELECTRONS IN REDUCED DIMENSIONS
3 9319 VERTEX ALGEBRA//VERTEX OPERATOR ALGEBRA//VERTEX OPERATOR ALGEBRAS
4 20713 ALGEBRA GEOMETRIA TOPOL//INNER IDEAL//SEMIPRIME ALGEBRA
5 28706 ORTHOSYMPLECTIC SUPERALGEBRA//WEIGHTED DENSITIES//POISSON SUPERALGEBRA
6 11993 LEIBNIZ ALGEBRA//NATURAL GRADATION//LIE ALGEBRA
7 19986 LIE SUPERALGEBRA//CHARACTER FORMULA//KAC MODULE
8 15284 FINITISTIC DIMENSION//QUASI HEREDITARY ALGEBRA//CATEGORY O
9 24414 NON CANONICAL QUANTIZATION//FIS TEOR COMPUTAC CARLOS 1//DRIENFELD SOKOLOV EQUATION
10 11397 CRYSTAL BASES//QUANTUM AFFINE ALGEBRA//DEMAZURE MODULES

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