This textbook provides an essential introduction to Lie groups, presenting the theory from its fundamental principles. Lie groups are a special class of groups that are studied using differential and integral calculus methods. As a mathematical structure, a Lie group combines the algebraic group structure and the differentiable variety structure. Studies of such groups began around 1870 as groups of symmetries of differential equations and the various geometries that had emerged. Since tha...

Relationships often suck... until we find that special someone that fits our lives just right.We clawed, we scratched, and we chomped at the bit for our own slice of the good life. Fights, misspoken words, hardships, battles, and other things made us feel like we weren't going to survive, much less thrive or love. We searched for wealth, longevity and even a home; not necessarily in the brick and mortar sense.Those bad things brought us to the moment we found ourselves trul...

This audiobook is narrated by a digital voice.True love or a billion-dollar bet? Which will he choose?Can a billionaire find true love in a world driven by secrets and money?Stephen Pennington is a reclusive billionaire, a cryptocurrency mogul whose life is dictated by screens and solitude. He's bound by a pact with his billionaire buddies—a million-dollar bet that none of them will ever marry. Just when he thinks he's destined for ...

This audiobook is narrated by a digital voice.He’s earning his next billion. She’s set her heart on a new career. When his grandmother changes her will, can he find a bride in time to inherit his childhood dream?Michael Cavanaugh is a real estate mogul. Money may be able to open doors, but it can’t guarantee love. He’s had his share of gold-diggers in his past…enough to swear him off women forever. So when the wealthy Georgian targets a disposable bride, he...

This audiobook is narrated by a digital voice.He’s expanding his empire. Her life’s passion is helping people. When he accepts a ride-along on his business flight, will the kindness ignite a spark in his heart?Markson Rothschild is a Venture Capitalist. So when the wealthy Southern boy takes to the air for the short hop between Atlanta and Sevierville, Tennessee, he doesn’t reveal his true identity to his passenger. But after his jet crashes in the wilderne...

Keatyn was told if she went away, the stalker would forget about her, lose interest, and move on.But he hasn't.In fact, her being gone has only made things worse for her family and friends.So, it's time to take matters into her own hands. It's time for her to start fighting back.Hey, Vincent. You ready for a little chaos?Because Keatyn has written a whole new script—just for you.

She’s making a list—and checking it twice. But is there a nice guy among all her naughty exes? The New York Times bestselling author of Blurred Lines returns with a charming friends-to-lovers rom-com.“Lauren Layne writes characters I want to tackle and keep as my best friends, woven into smart, sexy, utterly romantic tales of love.”—Violet DukeWhen a psychic tells spunky, superstitious Kelly Byrne that she’s already met he...

Skye Wolcott planned to marry, have children, and live happy ever after in her hometown of Marietta, Montana. Then her marriage imploded in a cloud of scandal. Now she¹d be happy if people would just stop talking about her.Chase Goodwin worked hard to get away from Marietta, where poverty colored his past. Living his dream as a major league baseball player, he has no reason to return beyond helping his half-brother escape as successfully. The last thing Chase would consider is stay...

Faith, Love, & Devotion: Book TwoSeattle Homicide Detective Jim Shea never takes work home with him—until now. A judge banged his gavel, declared a defendant not guilty, and laid waste to a family. The emotional fallout of the trial leaves Jim vulnerable and duty-bound to the victim's dying father.It's that man's story that screenwriter Griffin Drake and his best friend, actress Daisy Baylor, see as their ticket out of action blockbusters and into ...

A fresh voice in YA fiction brings a charming heroine to life in this series debutSixteen–year–old Pippa Greene never goes anywhere without her camera. She and her best friend/supermodel–in–training Dace long ago mapped out their life plan: Pippa will be the noted fashion photographer, and Dace the cover girl. But ever since last spring, things have changed for Pippa — and her junior year at Spalding High proves to have its own set of challenges. Not only is Vantage Point,...

Dahlia Greene—aka international pop superstar Cherry—is undercover as a normal high school student. She just wants to experience what real life is like, so when she overhears hottie Keegan Matthews nervously talking about liking a girl, she sees the perfect opportunity to live a real life and play a little matchmaker. What was not part of the plan was falling for a guy she can never tell the truth.Keegan Matthews has been secretly crushing on Dahlia ever ...

Ten years after their home was almost torn apart by infidelity, Mona and Shawn Black are just getting back to normal . . . or so it seems. Both Shawn and Mona are still keeping secrets from each other and their immediate family. Back to his old tricks, James Parks exits prison older but not wiser, and his bitter rage seeks revenge. He again manipulates the lives of the Black family with knowledge of secrets that they hold locked away. He uses any and everyone in his path to get his payback...