Knowledge

Moss Sweedler

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654: 667: 660: 70:. He, with Harry P. Allen, used Hopf algebras to prove in 1969 a famous 25-year-old conjecture of Jacobson about the forms of generalized Witt algebras over algebraically closed fields of finite characteristic. From 1965 to the mid 1980s Sweeder worked on commutative algebra and related disciplines. Since the mid 1980s Sweedler has worked primarily on 446:
Haile, Darrell E.; Larson, Richard G.; Sweedler, Moss E. (1983). "A new invariant for C over R: almost invertible cohomology theory and the classification of idempotent cohomology classes and algebras by partially ordered sets with a Galois group action".
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with I. Rubio and C. Heegard: GrΓΆbner bases for linear recursion relations on m-D arrays and applications to decoding, Proc. IEEE Int'l Symp. on Information Theory, June 29–July 4, 1997, Ulm, Germany.
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with K. Shirayanagi: Remarks on automatic algorithm stabilization, invited contribution to (fourth) IMACS Conf. on Appl. of Computer Algebra (1998).
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Allen, Harry Prince; Sweedler, Moss Eisenberg (1969). "A theory of linear descent based upon Hopf algebraic techniques".
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Larson, Richard Gustavus; Sweedler, Moss Eisenberg (1969). "An associative orthogonal bilinear form for Hopf algebras".
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Groups of simple algebras, Institut des Hautes Etudes Scientifiques 44 (1975), 79–189.
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in 1974 in Vancouver. He was a Guggenheim Fellow for the academic year 1980–1981.
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Proceedings of the International Congress of Mathematicians, Vancouver, 1974
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With his wife Kristin, he helped establish the Sweedler Nature Preserve.
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Massachusetts Institute of Technology School of Science alumni
38:, and his proof, with Harry Prince Allen, of a conjecture of 74:. His research resulted in his position as director of the 678: 567:
Dates of birth, report from Guggenheim Foundation 1980
341:"The predual theorem to the Jacobson-Bourbaki theorem" 66:(1969), which became the standard reference book on 628:
John Simon Guggenheim Foundation | Moss E. Sweedler
673:This article about an American mathematician is a 590: 588: 58:was written under the direction of thesis advisor 376:"When is the tensor product of algebras local?" 698: 8: 639:Lick Brook Falls @ Sweedler Nature Preserve 410:Newman, Kenneth; Sweedler, Moss E. (1979). 180:"Cohomology of algebras over Hopf algebras" 135:"Cocommutative Hopf algebras with antipode" 705: 691: 483:Robbiano, Lorenzo; Sweedler, Moss (1998). 412:"A realization of the additive Witt group" 100:"Hopf algebras with one grouplike element" 26:) is an American mathematician, known for 536: 500: 427: 391: 356: 318: 195: 160: 150: 115: 519:Mosteig, Edward; Sweedler, Moss (2004). 83:International Congress of Mathematicians 56:Commutative Hopf Algebras with Antipode, 560: 303:"Weakening a theorem on divided powers" 81:Sweedler was an Invited Speaker at the 595:Moss E. Sweedler, www.math.cornell.edu 444:with Darrell E. Halle and R. Larson: 52:Massachusetts Institute of Technology 50:Sweedler received his Ph.D. from the 7: 729:21st-century American mathematicians 724:20th-century American mathematicians 649: 647: 485:"Ideal and subalgebra coefficients" 14: 608:"Something like the Brauer group" 429:10.1090/s0002-9939-1979-0534386-3 393:10.1090/s0002-9939-1975-0360568-6 374:Sweedler, Moss Eisenberg (1975). 358:10.1090/s0002-9947-1975-0387345-9 320:10.1090/s0002-9947-1971-0279162-1 197:10.1090/s0002-9947-1968-0224684-2 178:Sweedler, Moss Eisenberg (1968). 117:10.1090/s0002-9947-1967-0210748-5 98:Sweedler, Moss Eisenberg (1967). 665: 658: 652: 152:10.1090/s0002-9904-1967-11677-x 1: 581:Mathematics Genealogy Project 538:10.1090/s0002-9939-04-07456-8 502:10.1090/s0002-9939-98-04306-8 759:American mathematician stubs 677:. You can help Knowledge by 256:10.1016/0021-8693(69)90051-9 775: 739:Cornell University faculty 646: 606:Sweedler, Moss Eisenberg. 301:Sweedler, Moss E. (1971). 213:Sweedler, Moss E. (1969), 133:Sweedler, Moss E. (1967). 76:Army Center of Excellence 270:with Richard G. Larson: 22:(born 29 April 1942, in 339:Sweedler, Moss (1975). 28:Sweedler's Hopf algebra 20:Moss Eisenberg Sweedler 345:Trans. Amer. Math. Soc 307:Trans. Amer. Math. Soc 184:Trans. Amer. Math. Soc 104:Trans. Amer. Math. Soc 78:for computer algebra. 16:American mathematician 525:Proc. Amer. Math. Soc 517:with Edward Mosteig: 489:Proc. Amer. Math. Soc 416:Proc. Amer. Math. Soc 408:with Kenneth Newman: 380:Proc. Amer. Math. Soc 139:Bull. Amer. Math. Soc 92:Selected publications 54:in 1965. His thesis, 754:American algebraists 46:Education and career 36:measuring coalgebras 617:. pp. 337–341. 32:Sweedler's notation 481:with L. Robbiano: 240:with H. P. Allen: 686: 685: 531:(12): 3473–3483. 62:. Sweedler wrote 766: 707: 700: 693: 669: 664: 663: 662: 656: 648: 641: 636: 630: 625: 619: 618: 612: 603: 597: 592: 583: 574: 568: 565: 550: 540: 514: 504: 495:(8): 2213–2219. 472: 441: 431: 405: 395: 370: 360: 332: 322: 297: 267: 237: 209: 199: 174: 164: 154: 129: 119: 72:computer algebra 774: 773: 769: 768: 767: 765: 764: 763: 714: 713: 712: 711: 657: 651: 645: 644: 637: 633: 626: 622: 610: 605: 604: 600: 593: 586: 575: 571: 566: 562: 557: 518: 482: 461:10.2307/2374320 445: 409: 373: 338: 300: 286:10.2307/2373270 271: 241: 227: 212: 177: 132: 97: 94: 60:Bertram Kostant 48: 40:Nathan Jacobson 17: 12: 11: 5: 772: 770: 762: 761: 756: 751: 746: 741: 736: 731: 726: 716: 715: 710: 709: 702: 695: 687: 684: 683: 670: 643: 642: 631: 620: 598: 584: 569: 559: 558: 556: 553: 552: 551: 515: 479: 476: 473: 455:(3): 689–814. 442: 406: 371: 336: 333: 298: 268: 250:(2): 242–294. 238: 225: 210: 175: 145:(1): 126–128. 130: 110:(3): 515–526. 93: 90: 47: 44: 15: 13: 10: 9: 6: 4: 3: 2: 771: 760: 757: 755: 752: 750: 749:Living people 747: 745: 742: 740: 737: 735: 732: 730: 727: 725: 722: 721: 719: 708: 703: 701: 696: 694: 689: 688: 682: 680: 676: 671: 668: 661: 655: 650: 640: 635: 632: 629: 624: 621: 616: 609: 602: 599: 596: 591: 589: 585: 582: 578: 577:Moss Sweedler 573: 570: 564: 561: 554: 548: 544: 539: 534: 530: 526: 522: 516: 512: 508: 503: 498: 494: 490: 486: 480: 477: 474: 470: 466: 462: 458: 454: 450: 449:Amer. J. Math 443: 439: 435: 430: 425: 421: 417: 413: 407: 403: 399: 394: 389: 385: 381: 377: 372: 368: 364: 359: 354: 350: 346: 342: 337: 334: 330: 326: 321: 316: 312: 308: 304: 299: 295: 291: 287: 283: 279: 275: 274:Amer. J. Math 269: 265: 261: 257: 253: 249: 245: 239: 236: 232: 228: 226:9780805392548 222: 218: 217: 216:Hopf algebras 211: 207: 203: 198: 193: 189: 185: 181: 176: 172: 168: 163: 158: 153: 148: 144: 140: 136: 131: 127: 123: 118: 113: 109: 105: 101: 96: 95: 91: 89: 86: 84: 79: 77: 73: 69: 68:Hopf algebras 65: 64:Hopf Algebras 61: 57: 53: 45: 43: 41: 37: 33: 29: 25: 21: 679:expanding it 672: 634: 623: 614: 601: 572: 563: 528: 524: 492: 488: 452: 448: 422:(1): 39–42. 419: 415: 383: 379: 348: 344: 310: 306: 280:(1): 75–94. 277: 273: 247: 243: 215: 187: 183: 162:1721.1/72926 142: 138: 107: 103: 87: 80: 63: 55: 49: 19: 18: 744:1942 births 351:: 391–406. 313:: 427–428. 190:: 205–239. 718:Categories 555:References 244:J. Algebra 386:: 8–10. 24:Brooklyn 579:at the 547:2084067 511:1443407 469:2374320 438:0534386 402:0360568 367:0387345 329:0279162 294:2373270 264:0242906 235:0252485 206:0224684 171:0214646 126:0210748 545:  509:  467:  436:  400:  365:  327:  292:  262:  233:  223:  204:  169:  124:  611:(PDF) 465:JSTOR 290:JSTOR 675:stub 221:ISBN 533:doi 529:132 497:doi 493:126 457:doi 453:105 424:doi 388:doi 353:doi 349:213 315:doi 311:154 282:doi 252:doi 192:doi 188:133 157:hdl 147:doi 112:doi 108:127 720:: 613:. 587:^ 543:MR 541:. 527:. 523:. 507:MR 505:. 491:. 487:. 463:. 451:. 434:MR 432:. 420:76 418:. 414:. 398:MR 396:. 384:48 382:. 378:. 363:MR 361:. 347:. 343:. 325:MR 323:. 309:. 305:. 288:. 278:91 276:. 260:MR 258:. 248:12 246:. 231:MR 229:, 202:MR 200:. 186:. 182:. 167:MR 165:. 155:. 143:73 141:. 137:. 122:MR 120:. 106:. 102:. 42:. 34:, 30:, 706:e 699:t 692:v 681:. 549:. 535:: 513:. 499:: 471:. 459:: 440:. 426:: 404:. 390:: 369:. 355:: 331:. 317:: 296:. 284:: 266:. 254:: 208:. 194:: 173:. 159:: 149:: 128:. 114::

Index

Brooklyn
Sweedler's Hopf algebra
Sweedler's notation
measuring coalgebras
Nathan Jacobson
Massachusetts Institute of Technology
Bertram Kostant
Hopf algebras
computer algebra
Army Center of Excellence
International Congress of Mathematicians
"Hopf algebras with one grouplike element"
doi
10.1090/s0002-9947-1967-0210748-5
MR
0210748
"Cocommutative Hopf algebras with antipode"
doi
10.1090/s0002-9904-1967-11677-x
hdl
1721.1/72926
MR
0214646
"Cohomology of algebras over Hopf algebras"
doi
10.1090/s0002-9947-1968-0224684-2
MR
0224684
Hopf algebras
ISBN

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