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

Basic class information
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
14 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 912822
170 3       MATHEMATICS//JOURNAL OF ALGEBRA//MATH 59224
1633 2             HOPF ALGEBRA//COMMUNICATIONS IN ALGEBRA//WEAK HOPF ALGEBRA 7251
12418 1                   LEIBNIZ ALGEBRA//NATURAL GRADATION//COMPLETE LIE ALGEBRA 937

Terms with highest relevance score


rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 LEIBNIZ ALGEBRA authKW 1603885 9% 58% 82
2 NATURAL GRADATION authKW 504515 2% 100% 15
3 COMPLETE LIE ALGEBRA authKW 437247 1% 100% 13
4 LIE ALGEBRA authKW 434989 14% 10% 133
5 CHARACTERISTIC SEQUENCE authKW 367923 2% 58% 19
6 FILIFORM LEIBNIZ ALGEBRA authKW 305765 1% 91% 10
7 FINE GRADING authKW 302709 1% 100% 9
8 NILRADICAL authKW 285875 2% 50% 17
9 DOUBLE EXTENSION authKW 284201 1% 65% 13
10 NILPOTENCY authKW 263934 2% 41% 19

Web of Science journal categories


chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 27079 73% 0% 682
2 Physics, Mathematical 4663 20% 0% 188
3 Mathematics, Applied 4169 27% 0% 254
4 Physics, Multidisciplinary 118 7% 0% 64
5 Physics, Particles & Fields 6 2% 0% 17
6 Physics, Nuclear 4 1% 0% 13
7 Computer Science, Interdisciplinary Applications 1 1% 0% 9
8 Logic 1 0% 0% 1
9 Computer Science, Theory & Methods 0 1% 0% 7
10 Computer Science, Hardware & Architecture -1 0% 0% 1

Address terms


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 CC MATEMAT 230167 4% 19% 37
2 DPTO GEOMETRIA TOPOL 167167 1% 38% 13
3 MATH INSPEM 134521 1% 33% 12
4 GEOMETRIA TOPOL 125542 7% 6% 61
5 DPTO MATEMAT LICADA 1 114639 2% 23% 15
6 DIPARTIMENTO GEOMETR TOPOL 100903 0% 100% 3
7 UNIV MATEMAT LICAC 78099 1% 19% 12
8 DIPARTIMENTO MATEMAT LICADA 1 67269 0% 100% 2
9 DPTO ECON METODOS CUANTITAT HA ECON 67269 0% 100% 2
10 MATEMAT E DE GIORGI 67269 0% 100% 2

Journals


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 JOURNAL OF LIE THEORY 56987 4% 5% 37
2 COMMUNICATIONS IN ALGEBRA 36859 11% 1% 104
3 LINEAR ALGEBRA AND ITS APPLICATIONS 18267 9% 1% 80
4 ALGEBRAS AND REPRESENTATION THEORY 13812 2% 2% 18
5 JOURNAL OF ALGEBRA 13807 8% 1% 74
6 JOURNAL OF MATHEMATICAL PHYSICS 11002 8% 0% 73
7 LINEAR & MULTILINEAR ALGEBRA 6024 2% 1% 16
8 ALGEBRA COLLOQUIUM 5545 1% 1% 14
9 JOURNAL OF GEOMETRY AND PHYSICS 5450 2% 1% 21
10 JOURNAL OF ALGEBRA AND ITS APPLICATIONS 5104 2% 1% 15

Author Key Words


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 LEIBNIZ ALGEBRA 1603885 9% 58% 82 Search LEIBNIZ+ALGEBRA Search LEIBNIZ+ALGEBRA
2 NATURAL GRADATION 504515 2% 100% 15 Search NATURAL+GRADATION Search NATURAL+GRADATION
3 COMPLETE LIE ALGEBRA 437247 1% 100% 13 Search COMPLETE+LIE+ALGEBRA Search COMPLETE+LIE+ALGEBRA
4 LIE ALGEBRA 434989 14% 10% 133 Search LIE+ALGEBRA Search LIE+ALGEBRA
5 CHARACTERISTIC SEQUENCE 367923 2% 58% 19 Search CHARACTERISTIC+SEQUENCE Search CHARACTERISTIC+SEQUENCE
6 FILIFORM LEIBNIZ ALGEBRA 305765 1% 91% 10 Search FILIFORM+LEIBNIZ+ALGEBRA Search FILIFORM+LEIBNIZ+ALGEBRA
7 FINE GRADING 302709 1% 100% 9 Search FINE+GRADING Search FINE+GRADING
8 NILRADICAL 285875 2% 50% 17 Search NILRADICAL Search NILRADICAL
9 DOUBLE EXTENSION 284201 1% 65% 13 Search DOUBLE+EXTENSION Search DOUBLE+EXTENSION
10 NILPOTENCY 263934 2% 41% 19 Search NILPOTENCY Search NILPOTENCY

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.

Classes with closest relation at Level 1


rank cluster_id2 link
1 25100 EINSTEIN NILRADICAL//EINSTEIN METRICS//SOLITON METRIC
2 32721 HOM LIE ALGEBRA//MONOIDAL HOM HOPF ALGEBRA//HOM HOPF ALGEBRA
3 20832 MODULAR LIE SUPERALGEBRA//RESTRICTED LIE SUPERALGEBRA//DERIVATION SUPERALGEBRA
4 6965 WEIGHT MODULE//EXTENDED AFFINE LIE ALGEBRA//WHITTAKER MODULE
5 15429 NOVIKOV ALGEBRA//LEFT SYMMETRIC ALGEBRA//CLIFFORD KLEIN FORM
6 36311 ALGEBRA DECONTRACTION//ALGEBRA EXPANSION//ANTI TRIANGLE INEQUALITY
7 12336 M THEORY//N LIE ALGEBRA//NAMBU MECHANICS
8 11788 OPERADS//STRING TOPOLOGY//BATALIN VILKOVISKY ALGEBRA
9 22919 FROBENIUS LIE ALGEBRA//PBW FILTRATION//COMMUTING VARIETY
10 20277 KRICHEVER NOVIKOV ALGEBRAS//ORTHOSYMPLECTIC SUPERALGEBRA//WEIGHTED DENSITIES

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