A NEW FAMILY OF ALGEBRAS UNDERLYING THE ROGERS-RAMANUJAN IDENTITIES AND GENERALIZATIONS

被引：101

作者：

LEPOWSKY, J ^{[1
]}

WILSON, RL ^{[1
]}

机构：

[1] INST ADV STUDY,SCH MATH,PRINCETON,NJ 08540

来源：

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA-PHYSICAL SCIENCES | 1981年 / 78卷 / 12期

关键词：

D O I：

10.1073/pnas.78.12.7254

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

引用

页码：7254 / 7258

页数：5

共 19 条

[1]

Andrews G.E., 1967, J COMB THEORY, V2, P431, DOI [10.1016/S0021-9800(67)80054-1, DOI 10.1016/S0021-9800(67)80054-1]

[2]

ANDREWS GE, 1976, ENCY MATH ITS APPLIC, V2

[3]

BRESSOUD D, 1980, MEM AM MATH SOC 227, V24

[4] WEYL-KAC CHARACTER FORMULA AND POWER-SERIES IDENTITIES [J].

FEINGOLD, AJ ;

LEPOWSKY, J .

ADVANCES IN MATHEMATICS, 1978, 29 (03) :271-309

[5] A COMBINATORIAL GENERALIZATION OF ROGERS-RAMANUJAN IDENTITIES [J].

GORDON, B .

AMERICAN JOURNAL OF MATHEMATICS, 1961, 83 (02) :393-&

[6]

Kac V., 1968, MATH USSR IZV, V2, P1271, DOI 10.1070/IM1968v002n06ABEH000729

[7] REALIZATION OF THE BASIC REPRESENTATIONS OF THE EUCLIDEAN LIE-ALGEBRAS [J].

KAC, VG ;

KAZHDAN, DA ;

LEPOWSKY, J ;

WILSON, RL .

ADVANCES IN MATHEMATICS, 1981, 42 (01) :83-112

[8] INFINITE-DIMENSIONAL ALGEBRAS, DEDEKINDS ETA-FUNCTION, CLASSICAL MOBIUS FUNCTION AND THE VERY STRANGE FORMULA [J].

KAC, VG .

ADVANCES IN MATHEMATICS, 1978, 30 (02) :85-136

[9] CONICAL VECTORS IN INDUCED MODULES [J].

LEPOWSKY, J .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1975, 208 (JUL) :219-272

[10] MACDONALD-TYPE IDENTITIES [J].

LEPOWSKY, J .

ADVANCES IN MATHEMATICS, 1978, 27 (03) :230-234

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