Class information for:
Level 1: LITTLEWOOD RICHARDSON COEFFICIENTS//KRONECKER COEFFICIENTS//GEOMETRIC COMPLEXITY THEORY

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
21759 407 17.7 35%


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
552 2             JOURNAL OF ALGEBRA//MATHEMATICS//ALGEBRAS AND REPRESENTATION THEORY 14591
21759 1                   LITTLEWOOD RICHARDSON COEFFICIENTS//KRONECKER COEFFICIENTS//GEOMETRIC COMPLEXITY THEORY 407

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 LITTLEWOOD RICHARDSON COEFFICIENTS authKW 901978 6% 52% 23
2 KRONECKER COEFFICIENTS authKW 773931 3% 74% 14
3 GEOMETRIC COMPLEXITY THEORY authKW 771678 3% 86% 12
4 FOULKES CONJECTURE authKW 525172 2% 100% 7
5 SKEW SCHUR FUNCTION authKW 468896 2% 63% 10
6 HORN INEQUALITIES authKW 375123 1% 100% 5
7 FOULKES HOWE CONJECTURE authKW 225074 1% 100% 3
8 HIVE MODEL authKW 225074 1% 100% 3
9 SKEW CHARACTERS authKW 225074 1% 100% 3
10 SCHUR POSITIVITY authKW 192914 1% 43% 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 17413 88% 0% 358
2 Mathematics, Applied 2479 31% 0% 128
3 Computer Science, Theory & Methods 149 6% 0% 24
4 Physics, Mathematical 5 2% 0% 7
5 Computer Science, Software Engineering 4 1% 0% 5
6 Logic 3 0% 0% 1
7 Computer Science, Hardware & Architecture 2 1% 0% 3
8 Computer Science, Interdisciplinary Applications 0 1% 0% 3
9 Computer Science, Information Systems -0 0% 0% 2
10 Computer Science, Artificial Intelligence -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 IMCCE UMR 8028 100031 0% 67% 2
2 ASD 77 75025 0% 100% 1
3 CNRS MATH JUSSIEU PARIS RIVE GAUCHEUMR7586 75025 0% 100% 1
4 GALILEELAGA 75025 0% 100% 1
5 KERCHOF HALL MATH 75025 0% 100% 1
6 SEISMOL 1 75025 0% 100% 1
7 CNRSCENT MARSEILLE 37511 0% 50% 1
8 MATHCC 051 37511 0% 50% 1
9 RYERSON 37511 0% 50% 1
10 ALGEBRA ZAHLENTHEORIE DISKRETE MATH 37501 1% 8% 6

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 JOURNAL OF ALGEBRAIC COMBINATORICS 29553 5% 2% 21
2 LINEAR ALGEBRA AND ITS APPLICATIONS 13198 11% 0% 45
3 ANNALS OF COMBINATORICS 8399 2% 2% 7
4 JOURNAL OF ALGEBRA 6636 8% 0% 34
5 JOURNAL OF COMBINATORIAL THEORY SERIES A 5836 4% 0% 16
6 ELECTRONIC JOURNAL OF COMBINATORICS 4322 3% 0% 12
7 JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY 3874 1% 1% 6
8 LINEAR & MULTILINEAR ALGEBRA 3633 2% 1% 8
9 ADVANCES IN MATHEMATICS 2694 3% 0% 13
10 EXPERIMENTAL MATHEMATICS 1645 1% 1% 4

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 LITTLEWOOD RICHARDSON COEFFICIENTS 901978 6% 52% 23 Search LITTLEWOOD+RICHARDSON+COEFFICIENTS Search LITTLEWOOD+RICHARDSON+COEFFICIENTS
2 KRONECKER COEFFICIENTS 773931 3% 74% 14 Search KRONECKER+COEFFICIENTS Search KRONECKER+COEFFICIENTS
3 GEOMETRIC COMPLEXITY THEORY 771678 3% 86% 12 Search GEOMETRIC+COMPLEXITY+THEORY Search GEOMETRIC+COMPLEXITY+THEORY
4 FOULKES CONJECTURE 525172 2% 100% 7 Search FOULKES+CONJECTURE Search FOULKES+CONJECTURE
5 SKEW SCHUR FUNCTION 468896 2% 63% 10 Search SKEW+SCHUR+FUNCTION Search SKEW+SCHUR+FUNCTION
6 HORN INEQUALITIES 375123 1% 100% 5 Search HORN+INEQUALITIES Search HORN+INEQUALITIES
7 FOULKES HOWE CONJECTURE 225074 1% 100% 3 Search FOULKES+HOWE+CONJECTURE Search FOULKES+HOWE+CONJECTURE
8 HIVE MODEL 225074 1% 100% 3 Search HIVE+MODEL Search HIVE+MODEL
9 SKEW CHARACTERS 225074 1% 100% 3 Search SKEW+CHARACTERS Search SKEW+CHARACTERS
10 SCHUR POSITIVITY 192914 1% 43% 6 Search SCHUR+POSITIVITY Search SCHUR+POSITIVITY

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 KUMAR, S , (2014) A SURVEY OF THE ADDITIVE EIGENVALUE PROBLEM.TRANSFORMATION GROUPS. VOL. 19. ISSUE 4. P. 1051 -1148 32 57% 0
2 MCNAMARA, PRW , VAN WILLIGENBURG, S , (2012) MAXIMAL SUPPORTS AND SCHUR-POSITIVITY AMONG CONNECTED SKEW SHAPES.EUROPEAN JOURNAL OF COMBINATORICS. VOL. 33. ISSUE 6. P. 1190-1206 15 94% 1
3 PAK, I , PANOVA, G , VALLEJO, E , (2016) KRONECKER PRODUCTS, CHARACTERS, PARTITIONS, AND THE TENSOR SQUARE CONJECTURES.ADVANCES IN MATHEMATICS. VOL. 288. ISSUE . P. 702 -731 17 68% 0
4 BURGISSER, P , IKENMEYER, C , (2013) DECIDING POSITIVITY OF LITTLEWOOD-RICHARDSON COEFFICIENTS.SIAM JOURNAL ON DISCRETE MATHEMATICS. VOL. 27. ISSUE 4. P. 1639-1681 12 100% 2
5 VALLEJO, E , (2014) A DIAGRAMMATIC APPROACH TO KRONECKER SQUARES.JOURNAL OF COMBINATORIAL THEORY SERIES A. VOL. 127. ISSUE . P. 243 -285 14 78% 4
6 BRION, M , (2013) RESTRICTION OF REPRESENTATIONS AND PROJECTS OF COADJOINT ORBITS [ACCORDING TO BELKALE, KUMAR AND RESSAYRE].ASTERISQUE. VOL. . ISSUE 352. P. 1-33 16 67% 0
7 RESSAYRE, N , (2012) A COHOMOLOGY-FREE DESCRIPTION OF EIGENCONES IN TYPES A, B, AND C.INTERNATIONAL MATHEMATICS RESEARCH NOTICES. VOL. . ISSUE 21. P. 4966-5005 14 78% 0
8 ANDERSON, D , RICHMOND, E , YONG, A , (2013) EIGENVALUES OF HERMITIAN MATRICES AND EQUIVARIANT COHOMOLOGY OF GRASSMANNIANS.COMPOSITIO MATHEMATICA. VOL. 149. ISSUE 9. P. 1569-1582 13 81% 0
9 ALEXANDERSSON, P , (2015) A COMBINATORIAL PROOF OF THE SKEW K-SATURATION THEOREM.DISCRETE MATHEMATICS. VOL. 338. ISSUE 1. P. 93 -102 10 100% 0
10 KAHLE, T , MICHALEK, M , (2016) PLETHYSM AND LATTICE POINT COUNTING.FOUNDATIONS OF COMPUTATIONAL MATHEMATICS. VOL. 16. ISSUE 5. P. 1241 -1261 17 55% 0

Classes with closest relation at Level 1


Rank Class id link
1 10024 BRUHAT ORDER//SCHUBERT VARIETIES//SCHUBERT POLYNOMIALS
2 11397 CRYSTAL BASES//QUANTUM AFFINE ALGEBRA//DEMAZURE MODULES
3 19219 DIAGONAL HARMONICS//AD NILPOTENT IDEAL//CYCLIC SIEVING PHENOMENON
4 16033 SPHERICAL VARIETIES//COX RING//WONDERFUL VARIETIES
5 22041 CONTROLLABILITY INDICES//MATEMAT LICADA EIO//BRUNOVSKY INDICES
6 12048 SYMPLECTIC REDUCTION//SYMPLECTIC QUOTIENT//MOMENTUM MAP
7 26653 SUPERSYMMETRIC ALGEBRA//GELFAND MODEL//ABSOLUTE INVOLUTIONS
8 26153 G MAJORIZATION//GROUP MAJORIZATION//STRONG LINEAR PRESERVER
9 22598 DEDEKIND SUMS//SUBDIVISION ALGEBRA//EHRHART POLYNOMIAL
10 12167 GROBNER SHIRSHOV BASIS//QUASI SYMMETRIC FUNCTIONS//ROTA BAXTER ALGEBRA

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