Class information for:
Level 1: DEFORMATION QUANTIZATION//STAR PRODUCT//LETTERS IN MATHEMATICAL PHYSICS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
12197 925 22.2 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
12197 1                   DEFORMATION QUANTIZATION//STAR PRODUCT//LETTERS IN MATHEMATICAL PHYSICS 925

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 DEFORMATION QUANTIZATION authKW 3301438 16% 66% 152
2 STAR PRODUCT authKW 749921 6% 40% 57
3 LETTERS IN MATHEMATICAL PHYSICS journal 183653 14% 4% 133
4 DEFORMATION QUANTIZATION WITH SEPARATION OF VARIABLES authKW 165049 1% 100% 5
5 SYMPLECTIC SPINORS authKW 161743 1% 70% 7
6 ALGEBROID STACKS authKW 132039 0% 100% 4
7 FEDOSOV CONSTRUCTION authKW 132039 0% 100% 4
8 FEDOSOV QUANTIZATION authKW 132039 0% 100% 4
9 SYMPLECTIC CONNECTIONS authKW 124415 1% 54% 7
10 FEDOSOV MANIFOLDS authKW 105629 0% 80% 4

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 Physics, Mathematical 24691 46% 0% 421
2 Mathematics 8468 42% 0% 385
3 Mathematics, Applied 942 14% 0% 127
4 Physics, Multidisciplinary 405 11% 0% 103
5 Physics, Particles & Fields 125 5% 0% 44
6 Physics, Nuclear 22 2% 0% 21
7 Multidisciplinary Sciences 21 1% 0% 10
8 Education, Scientific Disciplines -0 0% 0% 2
9 Statistics & Probability -2 0% 0% 2
10 Astronomy & Astrophysics -4 1% 0% 7

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 LMMAS 105629 0% 80% 4
2 GEVREY MATH PHYS 101084 1% 44% 7
3 LEHRSTUHL MATH 10 66019 0% 100% 2
4 MATH PHYS FONCT SPECIALES PLICAT 66019 0% 100% 2
5 UNIDAD MONTERREY CERRO MITRAS 2565 66019 0% 100% 2
6 CC5149 33010 0% 100% 1
7 CMCU 33010 0% 100% 1
8 CNRS UMR CMI I2M 7373 33010 0% 100% 1
9 CNRS UMR IPNL 8627 33010 0% 100% 1
10 EDIFICO CIENCIA 33010 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 LETTERS IN MATHEMATICAL PHYSICS 183653 14% 4% 133
2 JOURNAL OF GEOMETRY AND PHYSICS 30985 5% 2% 49
3 COMMUNICATIONS IN MATHEMATICAL PHYSICS 10500 6% 1% 51
4 JOURNAL OF NONCOMMUTATIVE GEOMETRY 9997 1% 3% 9
5 JOURNAL OF MATHEMATICAL PHYSICS 9799 7% 0% 69
6 COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A 6756 1% 3% 8
7 ADVANCES IN MATHEMATICS 6313 3% 1% 30
8 REVIEWS IN MATHEMATICAL PHYSICS 4688 1% 1% 11
9 JOURNAL OF LIE THEORY 4358 1% 1% 10
10 INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS 4269 1% 1% 13

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 DEFORMATION QUANTIZATION 3301438 16% 66% 152 Search DEFORMATION+QUANTIZATION Search DEFORMATION+QUANTIZATION
2 STAR PRODUCT 749921 6% 40% 57 Search STAR+PRODUCT Search STAR+PRODUCT
3 DEFORMATION QUANTIZATION WITH SEPARATION OF VARIABLES 165049 1% 100% 5 Search DEFORMATION+QUANTIZATION+WITH+SEPARATION+OF+VARIABLES Search DEFORMATION+QUANTIZATION+WITH+SEPARATION+OF+VARIABLES
4 SYMPLECTIC SPINORS 161743 1% 70% 7 Search SYMPLECTIC+SPINORS Search SYMPLECTIC+SPINORS
5 ALGEBROID STACKS 132039 0% 100% 4 Search ALGEBROID+STACKS Search ALGEBROID+STACKS
6 FEDOSOV CONSTRUCTION 132039 0% 100% 4 Search FEDOSOV+CONSTRUCTION Search FEDOSOV+CONSTRUCTION
7 FEDOSOV QUANTIZATION 132039 0% 100% 4 Search FEDOSOV+QUANTIZATION Search FEDOSOV+QUANTIZATION
8 SYMPLECTIC CONNECTIONS 124415 1% 54% 7 Search SYMPLECTIC+CONNECTIONS Search SYMPLECTIC+CONNECTIONS
9 FEDOSOV MANIFOLDS 105629 0% 80% 4 Search FEDOSOV+MANIFOLDS Search FEDOSOV+MANIFOLDS
10 DG LIE ALGEBRAS 99029 0% 100% 3 Search DG+LIE+ALGEBRAS Search DG+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 WALDMANN, S , (2005) STATES AND REPRESENTATIONS IN DEFORMATION QUANTIZATION.REVIEWS IN MATHEMATICAL PHYSICS. VOL. 17. ISSUE 1. P. 15 -75 52 81% 16
2 KARABEGOV, A , (2014) DEFORMATION QUANTIZATION WITH SEPARATION OF VARIABLES OF AN ENDOMORPHISM BUNDLE.JOURNAL OF GEOMETRY AND PHYSICS. VOL. 75. ISSUE . P. 55-70 21 100% 0
3 ENGLIS, M , ALI, ST , (2005) QUANTIZATION METHODS: A GUIDE FOR PHYSICISTS AND ANALYSTS.REVIEWS IN MATHEMATICAL PHYSICS. VOL. 17. ISSUE 4. P. 391 -490 51 41% 59
4 BEISER, S , ROMER, H , WALDMANN, S , (2007) CONVERGENCE OF THE WICK STAR PRODUCT.COMMUNICATIONS IN MATHEMATICAL PHYSICS. VOL. 272. ISSUE 1. P. 25-52 23 92% 7
5 KARABEGOV, AV , (2007) A FORMAL MODEL OF BEREZIN-TOEPLITZ QUANTIZATION.COMMUNICATIONS IN MATHEMATICAL PHYSICS. VOL. 274. ISSUE 3. P. 659-689 21 100% 3
6 BIELIAVSKY, P , GUTT, S , BORDEMANN, M , WALDMANN, S , (2003) TRACES FOR STAR PRODUCTS ON THE DUAL OF A LIE ALGEBRA.REVIEWS IN MATHEMATICAL PHYSICS. VOL. 15. ISSUE 5. P. 425-445 26 90% 3
7 CALAQUE, D , VAN DEN BERGH, M , (2010) HOCHSCHILD COHOMOLOGY AND ATIYAH CLASSES.ADVANCES IN MATHEMATICS. VOL. 224. ISSUE 5. P. 1839-1889 21 84% 15
8 WALDMANN, S , (2011) MORITA THEORY IN DEFORMATION QUANTIZATION.BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY. VOL. 42. ISSUE 4. P. 831-852 18 100% 0
9 REICHERT, T , WALDMANN, S , (2016) CLASSIFICATION OF EQUIVARIANT STAR PRODUCTS ON SYMPLECTIC MANIFOLDS.LETTERS IN MATHEMATICAL PHYSICS. VOL. 106. ISSUE 5. P. 675 -692 16 100% 0
10 GADELLA, M , DEL OLMO, MA , TOSIEK, J , (2005) GEOMETRICAL ORIGIN OF THE *-PRODUCT IN THE FEDOSOV FORMALISM.JOURNAL OF GEOMETRY AND PHYSICS. VOL. 55. ISSUE 3. P. 316-352 28 74% 10

Classes with closest relation at Level 1


Rank Class id link
1 28706 ORTHOSYMPLECTIC SUPERALGEBRA//WEIGHTED DENSITIES//POISSON SUPERALGEBRA
2 8861 LIE ALGEBROIDS//COURANT ALGEBROID//DIRAC STRUCTURES
3 20345 NUHAG//MATH NUHAG//FOURIER WIGNER TRANSFORMS
4 14883 STRING TOPOLOGY//BATALIN VILKOVISKY ALGEBRA//OPERADS
5 18491 TECHNOL KYUSHU//UNITARY REPRESENTATIONS OF LOCALLY COMPACT LIE GROUPS//COADJOINT ORBIT
6 27717 DYNAMICAL YANG BAXTER EQUATION//POISSON LIE SYMMETRY//QUASI FROBENIUS LIE ALGEBRA
7 19188 HOPF CYCLIC COHOMOLOGY//CYCLIC COHOMOLOGY//CYCLIC HOMOLOGY
8 18521 BRANCHING LAW//VISIBLE ACTION//MULTIPLICITY FREE REPRESENTATION
9 28753 NON RELATIVISTIC SPINORS//SPACETIME INVERSION//ANISOTROPIC SPIN SYSTEM
10 716 NON COMMUTATIVE GEOMETRY//NONCOMMUTATIVE FIELD THEORY//NONCOMMUTATIVE GEOMETRY

Go to start page