Class information for:
Level 1: KRICHEVER NOVIKOV ALGEBRAS//POINCARE RESIDUE//ELECTRONS IN REDUCED DIMENSIONS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
27268 233 17.9 34%


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
27268 1                   KRICHEVER NOVIKOV ALGEBRAS//POINCARE RESIDUE//ELECTRONS IN REDUCED DIMENSIONS 233

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 KRICHEVER NOVIKOV ALGEBRAS authKW 1179477 4% 100% 9
2 POINCARE RESIDUE authKW 393159 1% 100% 3
3 ELECTRONS IN REDUCED DIMENSIONS authKW 262106 1% 100% 2
4 ISMAGILOVS CONJECTURE authKW 262106 1% 100% 2
5 KRICHEVER NOVIKOV TYPE ALGEBRAS authKW 262106 1% 100% 2
6 LAX OPERATOR ALGEBRA authKW 262106 1% 100% 2
7 MEROMORPHIC FORMS authKW 262106 1% 100% 2
8 COMMUTING DIFFERENTIAL OPERATORS authKW 190618 2% 36% 4
9 WAKIMOTO MODULES authKW 168493 1% 43% 3
10 INFINITE DIMENSIONAL LIE ALGEBRAS authKW 134787 3% 17% 6

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 5118 64% 0% 148
2 Physics, Mathematical 2007 26% 0% 61
3 Mathematics, Applied 866 25% 0% 58
4 Physics, Multidisciplinary 29 7% 0% 16
5 Statistics & Probability 10 2% 0% 5
6 Physics, Particles & Fields 9 3% 0% 7
7 Physics, Nuclear 5 2% 0% 5
8 Nanoscience & Nanotechnology 2 2% 0% 5
9 Astronomy & Astrophysics -1 1% 0% 2
10 Mechanics -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 INSA LYON ASSOCIE CNRS UMR 5208 131053 0% 100% 1
2 UP A 5028 49140 1% 13% 3
3 GEOMETR METHODS MATH PHYS 30832 1% 12% 2
4 THEORIE GRP 30832 1% 12% 2
5 SOBOLEV MATH 19883 5% 1% 12
6 G DESARGUES 18720 0% 14% 1
7 DIFFERENTIAL GEOMETRY PLICAT 14560 0% 11% 1
8 FSTC 12677 1% 3% 3
9 DIPARTIMENTO MATEMAT SCI ECON SOCIALI 7279 0% 6% 1
10 CASE 7012 6896 0% 5% 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 RUSSIAN MATHEMATICAL SURVEYS 51281 13% 1% 31
2 FUNCTIONAL ANALYSIS AND ITS APPLICATIONS 30297 9% 1% 20
3 LETTERS IN MATHEMATICAL PHYSICS 5920 5% 0% 12
4 REVIEWS IN MATHEMATICAL PHYSICS 2465 2% 0% 4
5 IZVESTIYA VYSSHIKH UCHEBNYKH ZAVEDENII MATEMATIKA 2450 2% 0% 4
6 MATHEMATICS OF THE USSR-IZVESTIYA 2396 1% 1% 3
7 MOSCOW MATHEMATICAL JOURNAL 2096 1% 1% 3
8 INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS 1878 1% 0% 3
9 JOURNAL OF GEOMETRY AND PHYSICS 1838 3% 0% 6
10 PHYSICA D 1584 1% 0% 3

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 KRICHEVER NOVIKOV ALGEBRAS 1179477 4% 100% 9 Search KRICHEVER+NOVIKOV+ALGEBRAS Search KRICHEVER+NOVIKOV+ALGEBRAS
2 POINCARE RESIDUE 393159 1% 100% 3 Search POINCARE+RESIDUE Search POINCARE+RESIDUE
3 ELECTRONS IN REDUCED DIMENSIONS 262106 1% 100% 2 Search ELECTRONS+IN+REDUCED+DIMENSIONS Search ELECTRONS+IN+REDUCED+DIMENSIONS
4 ISMAGILOVS CONJECTURE 262106 1% 100% 2 Search ISMAGILOVS+CONJECTURE Search ISMAGILOVS+CONJECTURE
5 KRICHEVER NOVIKOV TYPE ALGEBRAS 262106 1% 100% 2 Search KRICHEVER+NOVIKOV+TYPE+ALGEBRAS Search KRICHEVER+NOVIKOV+TYPE+ALGEBRAS
6 LAX OPERATOR ALGEBRA 262106 1% 100% 2 Search LAX+OPERATOR+ALGEBRA Search LAX+OPERATOR+ALGEBRA
7 MEROMORPHIC FORMS 262106 1% 100% 2 Search MEROMORPHIC+FORMS Search MEROMORPHIC+FORMS
8 COMMUTING DIFFERENTIAL OPERATORS 190618 2% 36% 4 Search COMMUTING+DIFFERENTIAL+OPERATORS Search COMMUTING+DIFFERENTIAL+OPERATORS
9 WAKIMOTO MODULES 168493 1% 43% 3 Search WAKIMOTO+MODULES Search WAKIMOTO+MODULES
10 INFINITE DIMENSIONAL LIE ALGEBRAS 134787 3% 17% 6 Search INFINITE+DIMENSIONAL+LIE+ALGEBRAS Search INFINITE+DIMENSIONAL+LIE+ALGEBRAS

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 MIRONOV, AE , (2016) SELF-ADJOINT COMMUTING DIFFERENTIAL OPERATORS OF RANK TWO.RUSSIAN MATHEMATICAL SURVEYS. VOL. 71. ISSUE 4. P. 751 -779 25 81% 0
2 MIRONOV, AE , ZHEGLOV, AB , (2016) COMMUTING ORDINARY DIFFERENTIAL OPERATORS WITH POLYNOMIAL COEFFICIENTS AND AUTOMORPHISMS OF THE FIRST WEYL ALGEBRA.INTERNATIONAL MATHEMATICS RESEARCH NOTICES. VOL. . ISSUE 10. P. 2974 -2993 16 100% 3
3 SCHLICHENMAIER, M , (2017) N-POINT VIRASORO ALGEBRAS ARE MULTIPOINT KRICHEVER-NOVIKOV-TYPE ALGEBRAS.COMMUNICATIONS IN ALGEBRA. VOL. 45. ISSUE 2. P. 776 -821 23 70% 0
4 ZHEGLOV, AB , MIRONOV, AE , SAPARBAYEVA, BT , (2016) COMMUTING KRICHEVER-NOVIKOV DIFFERENTIAL OPERATORS WITH POLYNOMIAL COEFFICIENTS.SIBERIAN MATHEMATICAL JOURNAL. VOL. 57. ISSUE 5. P. 819 -823 16 100% 0
5 DAVLETSHINA, VN , (2015) SELF-ADJOINT COMMUTING DIFFERENTIAL OPERATORS OF RANK 2 AND THEIR DEFORMATIONS GIVEN BY SOLITON EQUATIONS.MATHEMATICAL NOTES. VOL. 97. ISSUE 3-4. P. 333 -340 15 100% 1
6 SHEINMAN, OK , (2016) LAX OPERATOR ALGEBRAS AND INTEGRABLE SYSTEMS.RUSSIAN MATHEMATICAL SURVEYS. VOL. 71. ISSUE 1. P. 109 -156 18 69% 1
7 SCHLICHENMAIER, M , (2014) MULTIPOINT LAX OPERATOR ALGEBRAS: ALMOST-GRADED STRUCTURE AND CENTRAL EXTENSIONS.SBORNIK MATHEMATICS. VOL. 205. ISSUE 5. P. 722 -762 13 93% 6
8 SHEINMAN, OK , (2011) KRICHEVER-NOVIKOV ALGEBRAS, THEIR REPRESENTATIONS AND APPLICATIONS IN GEOMETRY AND MATHEMATICAL PHYSICS.PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS. VOL. 274. ISSUE . P. S85-S161 20 65% 0
9 DAVLETSHINA, VN , SHAMAEV, EI , (2014) ON COMMUTING DIFFERENTIAL OPERATORS OF RANK 2.SIBERIAN MATHEMATICAL JOURNAL. VOL. 55. ISSUE 4. P. 606 -610 11 100% 3
10 MIRONOV, AE , (2014) SELF-ADJOINT COMMUTING ORDINARY DIFFERENTIAL OPERATORS.INVENTIONES MATHEMATICAE. VOL. 197. ISSUE 2. P. 417 -431 10 100% 12

Classes with closest relation at Level 1


Rank Class id link
1 22938 SIGMA FUNCTION//ELLIPTIC SOLITONS//ABELIAN FUNCTIONS
2 28706 ORTHOSYMPLECTIC SUPERALGEBRA//WEIGHTED DENSITIES//POISSON SUPERALGEBRA
3 24414 NON CANONICAL QUANTIZATION//FIS TEOR COMPUTAC CARLOS 1//DRIENFELD SOKOLOV EQUATION
4 9554 EXTENDED AFFINE LIE ALGEBRA//WEIGHT MODULE//WHITTAKER MODULE
5 30050 RESIDUE CURRENT//COLEFF HERRERA CURRENT//KOPPELMAN LERAY NORGUET FORMULA
6 11993 LEIBNIZ ALGEBRA//NATURAL GRADATION//LIE ALGEBRA
7 21486 INFINITE DIMENSIONAL LIE GROUP//FRECHET MANIFOLD//REGULAR LIE GROUP
8 2412 STRING FIELD THEORY//BOSONIC STRINGS//TACHYON CONDENSATION
9 20219 MATRIX ORTHOGONAL POLYNOMIALS//MATRIX VALUED ORTHOGONAL POLYNOMIALS//GENERATING MATRIX FUNCTION
10 25858 RECIPROCITY LAWS//CONTOU CARRERE SYMBOL//HIGHER ADELES

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