Class information for:
Level 1: LEIBNIZ ALGEBRA//NATURAL GRADATION//LIE ALGEBRA

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
11993 939 16.1 38%


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
11993 1                   LEIBNIZ ALGEBRA//NATURAL GRADATION//LIE ALGEBRA 939

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 LEIBNIZ ALGEBRA authKW 1428930 8% 59% 75
2 NATURAL GRADATION authKW 455245 1% 100% 14
3 LIE ALGEBRA authKW 425094 14% 10% 131
4 COMPLETE LIE ALGEBRA authKW 422728 1% 100% 13
5 CHARACTERISTIC SEQUENCE authKW 329224 2% 56% 18
6 DOUBLE EXTENSION authKW 318663 1% 70% 14
7 FILIFORM authKW 308897 2% 50% 19
8 FILIFORM LEIBNIZ ALGEBRA authKW 295612 1% 91% 10
9 FINE GRADING authKW 292658 1% 100% 9
10 STRUCTURE THEORY authKW 270126 2% 46% 18

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 26028 71% 0% 668
2 Physics, Mathematical 4050 19% 0% 176
3 Mathematics, Applied 3891 26% 0% 246
4 Physics, Multidisciplinary 92 6% 0% 59
5 Logic 68 1% 0% 6
6 Physics, Particles & Fields 24 3% 0% 25
7 Physics, Nuclear 15 2% 0% 19
8 Computer Science, Theory & Methods 1 1% 0% 9
9 Computer Science, Interdisciplinary Applications 0 1% 0% 8
10 Multidisciplinary Sciences -1 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 CC MATEMAT 213864 4% 18% 36
2 DPTO GEOMETRIA TOPOL 161615 1% 38% 13
3 MATH INSPEM 137706 1% 35% 12
4 DPTO MATEMAT LICADA 1 112538 2% 23% 15
5 GEOMETRIA TOPOL 112431 6% 6% 58
6 DIPARTIMENTO GEOMETR TOPOL 97553 0% 100% 3
7 KOMI SCI URD 97553 0% 100% 3
8 UNIV MATEMAT LICAC 80714 1% 21% 12
9 DIPARTIMENTO MATEMAT LICADA 1 65035 0% 100% 2
10 DPTO ECON METODOS CUANTITAT HA ECON 65035 0% 100% 2

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 39970 12% 1% 109
2 JOURNAL OF LIE THEORY 38756 3% 4% 30
3 LINEAR ALGEBRA AND ITS APPLICATIONS 17592 8% 1% 79
4 JOURNAL OF ALGEBRA 14750 8% 1% 77
5 ALGEBRAS AND REPRESENTATION THEORY 12430 2% 2% 17
6 JOURNAL OF MATHEMATICAL PHYSICS 8824 7% 0% 66
7 ALGEBRA COLLOQUIUM 8054 2% 1% 17
8 LINEAR & MULTILINEAR ALGEBRA 7107 2% 1% 17
9 JOURNAL OF GEOMETRY AND PHYSICS 5582 2% 1% 21
10 JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL 4299 5% 0% 46

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 LEIBNIZ ALGEBRA 1428930 8% 59% 75 Search LEIBNIZ+ALGEBRA Search LEIBNIZ+ALGEBRA
2 NATURAL GRADATION 455245 1% 100% 14 Search NATURAL+GRADATION Search NATURAL+GRADATION
3 LIE ALGEBRA 425094 14% 10% 131 Search LIE+ALGEBRA Search LIE+ALGEBRA
4 COMPLETE LIE ALGEBRA 422728 1% 100% 13 Search COMPLETE+LIE+ALGEBRA Search COMPLETE+LIE+ALGEBRA
5 CHARACTERISTIC SEQUENCE 329224 2% 56% 18 Search CHARACTERISTIC+SEQUENCE Search CHARACTERISTIC+SEQUENCE
6 DOUBLE EXTENSION 318663 1% 70% 14 Search DOUBLE+EXTENSION Search DOUBLE+EXTENSION
7 FILIFORM 308897 2% 50% 19 Search FILIFORM Search FILIFORM
8 FILIFORM LEIBNIZ ALGEBRA 295612 1% 91% 10 Search FILIFORM+LEIBNIZ+ALGEBRA Search FILIFORM+LEIBNIZ+ALGEBRA
9 FINE GRADING 292658 1% 100% 9 Search FINE+GRADING Search FINE+GRADING
10 STRUCTURE THEORY 270126 2% 46% 18 Search STRUCTURE+THEORY Search STRUCTURE+THEORY

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 65 94% 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 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 45 53% 2
4 NESTERENKO, M , POPOVYCH, R , (2006) CONTRACTIONS OF LOW-DIMENSIONAL LIE ALGEBRAS.JOURNAL OF MATHEMATICAL PHYSICS. VOL. 47. ISSUE 12. P. - 28 82% 28
5 HRIVNAK, J , NOVOTNY, P , (2013) GRADED CONTRACTIONS OF THE GELL-MANN GRADED SL(3, C).JOURNAL OF MATHEMATICAL PHYSICS. VOL. 54. ISSUE 8. P. - 22 92% 0
6 BOYKO, V , PATERA, J , POPOVYCH, R , (2008) INVARIANTS OF SOLVABLE LIE ALGEBRAS WITH TRIANGULAR NILRADICALS AND DIAGONAL NILINDEPENDENT ELEMENTS.LINEAR ALGEBRA AND ITS APPLICATIONS. VOL. 428. ISSUE 4. P. 834 -854 25 86% 7
7 DRAPER, C , VIRUEL, A , (2016) FINE GRADINGS ON E(6).PUBLICACIONS MATEMATIQUES. VOL. 60. ISSUE 1. P. 113 -170 20 80% 1
8 SNOBL, L , WINTERNITZ, P , (2009) ALL SOLVABLE EXTENSIONS OF A CLASS OF NILPOTENT LIE ALGEBRAS OF DIMENSION N AND DEGREE OF NILPOTENCY N-1.JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL. VOL. 42. ISSUE 10. P. - 23 85% 6
9 SNOBL, L , WINTERNITZ, P , (2012) SOLVABLE LIE ALGEBRAS WITH BOREL NILRADICALS.JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL. VOL. 45. ISSUE 9. P. - 20 91% 2
10 BENAYADI, S , HIDRI, S , (2016) LEIBNIZ ALGEBRAS WITH INVARIANT BILINEAR FORMS AND RELATED LIE ALGEBRAS.COMMUNICATIONS IN ALGEBRA. VOL. 44. ISSUE 8. P. 3538 -3556 17 94% 0

Classes with closest relation at Level 1


Rank Class id link
1 14972 MODULAR LIE SUPERALGEBRA//STRUCTURABLE ALGEBRA//DERIVATION SUPERALGEBRA
2 14508 NOVIKOV ALGEBRA//LEFT SYMMETRIC ALGEBRA//ALMOST BIEBERBACH GROUP
3 9554 EXTENDED AFFINE LIE ALGEBRA//WEIGHT MODULE//WHITTAKER MODULE
4 27268 KRICHEVER NOVIKOV ALGEBRAS//POINCARE RESIDUE//ELECTRONS IN REDUCED DIMENSIONS
5 27714 CHRONOMETRIC THEORY//EUCLIDEAN ALGEBRA//INTERDISCIPLINARY NAT HUMANIST SCI
6 12167 GROBNER SHIRSHOV BASIS//QUASI SYMMETRIC FUNCTIONS//ROTA BAXTER ALGEBRA
7 11604 M THEORY//N LIE ALGEBRA//NAMBU MECHANICS
8 35812 LATTICE ORDERED ALGEBRA//LATTICE ORDERED RING//LEVI CIVITA FIELD
9 19474 CENTRAL AUTOMORPHISM//FINITE P GROUPS//CLASS PRESERVING AUTOMORPHISM
10 28706 ORTHOSYMPLECTIC SUPERALGEBRA//WEIGHTED DENSITIES//POISSON SUPERALGEBRA

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