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Quantum groupoid

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Ross Street, Brian Day, "Quantum categories, star autonomy, and quantum groupoids", in "Galois Theory, Hopf Algebras, and Semiabelian Categories", Fields Institute Communications 43 (American Math. Soc. 2004) 187–226;
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Gabriella Böhm, "Hopf algebroids", (a chapter of) Handbook of algebra, Vol. 6, ed. by M. Hazewinkel, Elsevier 2009, 173–236
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of functions on the groupoid. Thus formalisms trying to capture quantum groupoids include certain classes of (autonomous)
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Jiang-Hua Lu, "Hopf algebroids and quantum groupoids", Int. J. Math. 7, n. 1 (1996) pp. 47–70,
114: 102: 197: 167: 163: 160: 118: 110: 240: 185: 171: 101:. In usual geometry, the information of a groupoid can be contained in its 98: 193: 156: 136: 146: 18: 201: 109:), in its groupoid algebra or in the commutative 46:but its sources remain unclear because it lacks 221: 8: 228: 214: 77:Learn how and when to remove this message 16:Constructs in non-commutative geometry 7: 182: 180: 105:of representations (by a version of 200:. You can help Knowledge (XXG) by 14: 93:is any of a number of notions in 184: 23: 1: 97:analogous to the notion of 268: 179: 172:10.1142/S0129167X96000050 32:This article includes a 95:noncommutative geometry 61:more precise citations. 196:-related article is a 107:Tannaka–Krein duality 247:Algebraic structures 115:monoidal categories 89:In mathematics, a 34:list of references 209: 208: 103:monoidal category 87: 86: 79: 259: 230: 223: 216: 188: 181: 91:quantum groupoid 82: 75: 71: 68: 62: 57:this article by 48:inline citations 27: 26: 19: 267: 266: 262: 261: 260: 258: 257: 256: 237: 236: 235: 234: 177: 127: 119:Hopf algebroids 83: 72: 66: 63: 52: 38:related reading 28: 24: 17: 12: 11: 5: 265: 263: 255: 254: 249: 239: 238: 233: 232: 225: 218: 210: 207: 206: 189: 175: 174: 149: 139: 126: 123: 111:Hopf algebroid 85: 84: 67:September 2017 42:external links 31: 29: 22: 15: 13: 10: 9: 6: 4: 3: 2: 264: 253: 252:Algebra stubs 250: 248: 245: 244: 242: 231: 226: 224: 219: 217: 212: 211: 205: 203: 199: 195: 190: 187: 183: 178: 173: 169: 165: 162: 158: 157:q-alg/9505024 154: 150: 148: 144: 140: 138: 134: 129: 128: 124: 122: 120: 116: 112: 108: 104: 100: 96: 92: 81: 78: 70: 60: 56: 50: 49: 43: 39: 35: 30: 21: 20: 202:expanding it 191: 176: 137:math/0301209 90: 88: 73: 64: 53:Please help 45: 59:introducing 241:Categories 125:References 147:0805.3806 99:groupoid 194:algebra 164:1369905 55:improve 192:This 153:arXiv 143:arXiv 133:arXiv 121:etc. 40:, or 198:stub 168:doi 243:: 166:, 161:MR 159:, 117:, 44:, 36:, 229:e 222:t 215:v 204:. 170:: 155:: 145:: 135:: 80:) 74:( 69:) 65:( 51:.

Index

list of references
related reading
external links
inline citations
improve
introducing
Learn how and when to remove this message
noncommutative geometry
groupoid
monoidal category
Tannaka–Krein duality
Hopf algebroid
monoidal categories
Hopf algebroids
arXiv
math/0301209
arXiv
0805.3806
arXiv
q-alg/9505024
MR
1369905
doi
10.1142/S0129167X96000050
Stub icon
algebra
stub
expanding it
v
t

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